Develop Uniform Probability Models - 7th Grade Math
Card 1 of 25
Identify the probability of rolling a number greater than $4$ on a fair six-sided die.
Identify the probability of rolling a number greater than $4$ on a fair six-sided die.
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$\frac{1}{3}$. Two numbers (5, 6) are greater than 4 out of 6 total.
$\frac{1}{3}$. Two numbers (5, 6) are greater than 4 out of 6 total.
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Identify the probability of rolling a $4$ on a fair six-sided die.
Identify the probability of rolling a $4$ on a fair six-sided die.
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$\frac{1}{6}$. One favorable outcome (rolling 4) out of 6 equally likely outcomes.
$\frac{1}{6}$. One favorable outcome (rolling 4) out of 6 equally likely outcomes.
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What is the sample space for one roll of a fair six-sided die?
What is the sample space for one roll of a fair six-sided die?
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${1,2,3,4,5,6}$. A standard die has six faces numbered 1 through 6.
${1,2,3,4,5,6}$. A standard die has six faces numbered 1 through 6.
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What formula gives probability in a uniform model using favorable and total outcomes?
What formula gives probability in a uniform model using favorable and total outcomes?
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$P(A)=\frac{\text{favorable outcomes}}{\text{total outcomes}}$. Count favorable outcomes and divide by total possible outcomes.
$P(A)=\frac{\text{favorable outcomes}}{\text{total outcomes}}$. Count favorable outcomes and divide by total possible outcomes.
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What is a uniform probability model?
What is a uniform probability model?
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A model where all outcomes in the sample space have equal probability. Each outcome has the same chance of occurring.
A model where all outcomes in the sample space have equal probability. Each outcome has the same chance of occurring.
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What is the probability of selecting a vowel from the letters in $\text{MATH}$, assuming each letter is equally likely?
What is the probability of selecting a vowel from the letters in $\text{MATH}$, assuming each letter is equally likely?
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$\frac{1}{4}$. One vowel (A) out of 4 letters total.
$\frac{1}{4}$. One vowel (A) out of 4 letters total.
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Identify the probability of selecting a prime number from ${1,2,3,4,5}$ in a uniform model.
Identify the probability of selecting a prime number from ${1,2,3,4,5}$ in a uniform model.
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$\frac{3}{5}$. Three prime numbers (2, 3, 5) out of 5 total numbers.
$\frac{3}{5}$. Three prime numbers (2, 3, 5) out of 5 total numbers.
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What is the probability of drawing a red card from a standard $52$-card deck in a uniform model?
What is the probability of drawing a red card from a standard $52$-card deck in a uniform model?
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$\frac{1}{2}$. 26 red cards (hearts and diamonds) out of 52 total cards.
$\frac{1}{2}$. 26 red cards (hearts and diamonds) out of 52 total cards.
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Identify the probability of drawing an ace from a standard $52$-card deck in a uniform model.
Identify the probability of drawing an ace from a standard $52$-card deck in a uniform model.
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$\frac{1}{13}$. 4 aces in the deck out of 52 total cards.
$\frac{1}{13}$. 4 aces in the deck out of 52 total cards.
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What is the probability of drawing a heart from a standard $52$-card deck in a uniform model?
What is the probability of drawing a heart from a standard $52$-card deck in a uniform model?
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$\frac{1}{4}$. 13 hearts in the deck out of 52 total cards.
$\frac{1}{4}$. 13 hearts in the deck out of 52 total cards.
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Identify the probability of spinning blue on a spinner with $8$ equal sections if $3$ sections are blue.
Identify the probability of spinning blue on a spinner with $8$ equal sections if $3$ sections are blue.
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$\frac{3}{8}$. 3 blue sections out of 8 equal sections total.
$\frac{3}{8}$. 3 blue sections out of 8 equal sections total.
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Identify the probability of choosing a multiple of $3$ from ${1,2,3,4,5,6,7,8,9}$ uniformly.
Identify the probability of choosing a multiple of $3$ from ${1,2,3,4,5,6,7,8,9}$ uniformly.
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$\frac{1}{3}$. Three multiples of 3 (3, 6, 9) out of 9 total numbers.
$\frac{1}{3}$. Three multiples of 3 (3, 6, 9) out of 9 total numbers.
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Find $P(\text{not }A)$ if $P(A)=\frac{2}{5}$ in a uniform probability setting.
Find $P(\text{not }A)$ if $P(A)=\frac{2}{5}$ in a uniform probability setting.
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$\frac{3}{5}$. The complement probability is $1 - P(A) = 1 - \frac{2}{5}$.
$\frac{3}{5}$. The complement probability is $1 - P(A) = 1 - \frac{2}{5}$.
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Identify the error: In a uniform model with $10$ outcomes, a student says $P(\text{one outcome})=\frac{1}{9}$.
Identify the error: In a uniform model with $10$ outcomes, a student says $P(\text{one outcome})=\frac{1}{9}$.
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Correct probability is $\frac{1}{10}$. With 10 outcomes, each has probability $\frac{1}{10}$, not $\frac{1}{9}$.
Correct probability is $\frac{1}{10}$. With 10 outcomes, each has probability $\frac{1}{10}$, not $\frac{1}{9}$.
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Identify the probability of getting heads on a fair coin flip.
Identify the probability of getting heads on a fair coin flip.
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$\frac{1}{2}$. One favorable outcome (H) out of 2 equally likely outcomes.
$\frac{1}{2}$. One favorable outcome (H) out of 2 equally likely outcomes.
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What is the sample space for one flip of a fair coin?
What is the sample space for one flip of a fair coin?
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${H,T}$. A coin has two possible outcomes: heads or tails.
${H,T}$. A coin has two possible outcomes: heads or tails.
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Identify the probability of rolling an even number on a fair six-sided die.
Identify the probability of rolling an even number on a fair six-sided die.
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$\frac{1}{2}$. Three even numbers (2, 4, 6) out of 6 total outcomes.
$\frac{1}{2}$. Three even numbers (2, 4, 6) out of 6 total outcomes.
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Identify the probability of getting at least one head in two fair coin flips.
Identify the probability of getting at least one head in two fair coin flips.
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$\frac{3}{4}$. Three favorable outcomes (HH, HT, TH) out of 4 total outcomes.
$\frac{3}{4}$. Three favorable outcomes (HH, HT, TH) out of 4 total outcomes.
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What is the probability of one specific outcome in a uniform model with $n$ outcomes?
What is the probability of one specific outcome in a uniform model with $n$ outcomes?
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$\frac{1}{n}$. Each outcome has equal probability, so divide 1 by the number of outcomes.
$\frac{1}{n}$. Each outcome has equal probability, so divide 1 by the number of outcomes.
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What is the probability of landing on an odd number on a fair spinner labeled $1$ through $10$?
What is the probability of landing on an odd number on a fair spinner labeled $1$ through $10$?
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$\frac{1}{2}$. 5 odd numbers (1, 3, 5, 7, 9) out of 10 total numbers.
$\frac{1}{2}$. 5 odd numbers (1, 3, 5, 7, 9) out of 10 total numbers.
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Identify the probability of rolling doubles with two fair six-sided dice.
Identify the probability of rolling doubles with two fair six-sided dice.
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$\frac{1}{6}$. Six doubles: (1,1), (2,2), (3,3), (4,4), (5,5), (6,6) out of 36.
$\frac{1}{6}$. Six doubles: (1,1), (2,2), (3,3), (4,4), (5,5), (6,6) out of 36.
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Identify the probability that the sum is $7$ when rolling two fair six-sided dice.
Identify the probability that the sum is $7$ when rolling two fair six-sided dice.
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$\frac{1}{6}$. Six ways to get sum 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1).
$\frac{1}{6}$. Six ways to get sum 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1).
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Identify the probability of getting two tails in two fair coin tosses.
Identify the probability of getting two tails in two fair coin tosses.
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$\frac{1}{4}$. Only TT gives two tails out of four equally likely outcomes.
$\frac{1}{4}$. Only TT gives two tails out of four equally likely outcomes.
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Identify the probability of getting at least one head in two fair coin tosses.
Identify the probability of getting at least one head in two fair coin tosses.
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$\frac{3}{4}$. Three outcomes (HH, HT, TH) have at least one head out of four total.
$\frac{3}{4}$. Three outcomes (HH, HT, TH) have at least one head out of four total.
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Identify the probability of getting exactly one head in two fair coin tosses.
Identify the probability of getting exactly one head in two fair coin tosses.
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$\frac{1}{2}$. HT and TH are the two ways to get exactly one head out of four outcomes.
$\frac{1}{2}$. HT and TH are the two ways to get exactly one head out of four outcomes.
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