Approximate the probability of a chance event - HiSET
Card 0 of 8
If I have 
quarters, what is the probability that I will get no more than 
heads?
If I have 
Tap to see back →
Step 1: If we have 3 quarters and each quarter has two outcomes, then there are 
total outcomes that can come out of all of the rolls of the quarters.
Those rolls are:
HHH, HHT, HTH, THH, THT, TTH, TTT, HTT.
Step 2: Determine how many outcomes have no more than 
heads....
We cannot count HHH because it has 
heads.
We also cannot count TTT because it has no heads at all.
Step 3: We had 
options and we can't take 
options..so we have a total of 
options left.
Step 1: If we have 3 quarters and each quarter has two outcomes, then there are 
Those rolls are:
HHH, HHT, HTH, THH, THT, TTH, TTT, HTT.
Step 2: Determine how many outcomes have no more than 
We cannot count HHH because it has 
We also cannot count TTT because it has no heads at all.
Step 3: We had 
In a sack, I have 20 red marbles, 15 blue marbles and 5 green marbles. What is the chance, without replacement, that I pick a green marble first and then pick a blue marble?
In a sack, I have 20 red marbles, 15 blue marbles and 5 green marbles. What is the chance, without replacement, that I pick a green marble first and then pick a blue marble?
Tap to see back →
Step 1: Find the probability of getting a green marble...
The probability of a green marble is 
.
Step 2: Find the probability of getting a blue marble (without replacement)
When we have without replacement, we do not put the first marble we take out back into the sack. In this case, the total number of marbles in the sack is 
less.
Probability of a blue marble is 
.
Step 3: To find the probability of both events happening at the same time, we need to multiply the probabilities in the first two steps.
So, 
Step 4: Simplify...
is the answer.
Step 1: Find the probability of getting a green marble...
The probability of a green marble is 
Step 2: Find the probability of getting a blue marble (without replacement)
When we have without replacement, we do not put the first marble we take out back into the sack. In this case, the total number of marbles in the sack is 
Probability of a blue marble is 
Step 3: To find the probability of both events happening at the same time, we need to multiply the probabilities in the first two steps.
So,
Step 4: Simplify...
If I have quarters, what is the probability that I will get no more than heads?
If I have
Tap to see back →
Step 1: If we have 3 quarters and each quarter has two outcomes, then there are total outcomes that can come out of all of the rolls of the quarters.
Those rolls are:
HHH, HHT, HTH, THH, THT, TTH, TTT, HTT.
Step 2: Determine how many outcomes have no more than heads....
We cannot count HHH because it has heads.
We also cannot count TTT because it has no heads at all.
Step 3: We had options and we can't take options..so we have a total of options left.
Step 1: If we have 3 quarters and each quarter has two outcomes, then there are
Those rolls are:
HHH, HHT, HTH, THH, THT, TTH, TTT, HTT.
Step 2: Determine how many outcomes have no more than
We cannot count HHH because it has
We also cannot count TTT because it has no heads at all.
Step 3: We had
In a sack, I have 20 red marbles, 15 blue marbles and 5 green marbles. What is the chance, without replacement, that I pick a green marble first and then pick a blue marble?
In a sack, I have 20 red marbles, 15 blue marbles and 5 green marbles. What is the chance, without replacement, that I pick a green marble first and then pick a blue marble?
Tap to see back →
Step 1: Find the probability of getting a green marble...
The probability of a green marble is .
Step 2: Find the probability of getting a blue marble (without replacement)
When we have without replacement, we do not put the first marble we take out back into the sack. In this case, the total number of marbles in the sack is less.
Probability of a blue marble is .
Step 3: To find the probability of both events happening at the same time, we need to multiply the probabilities in the first two steps.
So,
Step 4: Simplify...
is the answer.
Step 1: Find the probability of getting a green marble...
The probability of a green marble is
Step 2: Find the probability of getting a blue marble (without replacement)
When we have without replacement, we do not put the first marble we take out back into the sack. In this case, the total number of marbles in the sack is
Probability of a blue marble is
Step 3: To find the probability of both events happening at the same time, we need to multiply the probabilities in the first two steps.
So,
Step 4: Simplify...
If I have quarters, what is the probability that I will get no more than heads?
If I have
Tap to see back →
Step 1: If we have 3 quarters and each quarter has two outcomes, then there are total outcomes that can come out of all of the rolls of the quarters.
Those rolls are:
HHH, HHT, HTH, THH, THT, TTH, TTT, HTT.
Step 2: Determine how many outcomes have no more than heads....
We cannot count HHH because it has heads.
We also cannot count TTT because it has no heads at all.
Step 3: We had options and we can't take options..so we have a total of options left.
Step 1: If we have 3 quarters and each quarter has two outcomes, then there are
Those rolls are:
HHH, HHT, HTH, THH, THT, TTH, TTT, HTT.
Step 2: Determine how many outcomes have no more than
We cannot count HHH because it has
We also cannot count TTT because it has no heads at all.
Step 3: We had
In a sack, I have 20 red marbles, 15 blue marbles and 5 green marbles. What is the chance, without replacement, that I pick a green marble first and then pick a blue marble?
In a sack, I have 20 red marbles, 15 blue marbles and 5 green marbles. What is the chance, without replacement, that I pick a green marble first and then pick a blue marble?
Tap to see back →
Step 1: Find the probability of getting a green marble...
The probability of a green marble is .
Step 2: Find the probability of getting a blue marble (without replacement)
When we have without replacement, we do not put the first marble we take out back into the sack. In this case, the total number of marbles in the sack is less.
Probability of a blue marble is .
Step 3: To find the probability of both events happening at the same time, we need to multiply the probabilities in the first two steps.
So,
Step 4: Simplify...
is the answer.
Step 1: Find the probability of getting a green marble...
The probability of a green marble is
Step 2: Find the probability of getting a blue marble (without replacement)
When we have without replacement, we do not put the first marble we take out back into the sack. In this case, the total number of marbles in the sack is
Probability of a blue marble is
Step 3: To find the probability of both events happening at the same time, we need to multiply the probabilities in the first two steps.
So,
Step 4: Simplify...
If I have quarters, what is the probability that I will get no more than heads?
If I have
Tap to see back →
Step 1: If we have 3 quarters and each quarter has two outcomes, then there are total outcomes that can come out of all of the rolls of the quarters.
Those rolls are:
HHH, HHT, HTH, THH, THT, TTH, TTT, HTT.
Step 2: Determine how many outcomes have no more than heads....
We cannot count HHH because it has heads.
We also cannot count TTT because it has no heads at all.
Step 3: We had options and we can't take options..so we have a total of options left.
Step 1: If we have 3 quarters and each quarter has two outcomes, then there are
Those rolls are:
HHH, HHT, HTH, THH, THT, TTH, TTT, HTT.
Step 2: Determine how many outcomes have no more than
We cannot count HHH because it has
We also cannot count TTT because it has no heads at all.
Step 3: We had
In a sack, I have 20 red marbles, 15 blue marbles and 5 green marbles. What is the chance, without replacement, that I pick a green marble first and then pick a blue marble?
In a sack, I have 20 red marbles, 15 blue marbles and 5 green marbles. What is the chance, without replacement, that I pick a green marble first and then pick a blue marble?
Tap to see back →
Step 1: Find the probability of getting a green marble...
The probability of a green marble is .
Step 2: Find the probability of getting a blue marble (without replacement)
When we have without replacement, we do not put the first marble we take out back into the sack. In this case, the total number of marbles in the sack is less.
Probability of a blue marble is .
Step 3: To find the probability of both events happening at the same time, we need to multiply the probabilities in the first two steps.
So,
Step 4: Simplify...
is the answer.
Step 1: Find the probability of getting a green marble...
The probability of a green marble is
Step 2: Find the probability of getting a blue marble (without replacement)
When we have without replacement, we do not put the first marble we take out back into the sack. In this case, the total number of marbles in the sack is
Probability of a blue marble is
Step 3: To find the probability of both events happening at the same time, we need to multiply the probabilities in the first two steps.
So,
Step 4: Simplify...