Max has 4 blue shirts, 3 red shirts, and 5 striped shirts. What is the probability that he will select a red shirt and then a striped shirt without replacement?
For probability questions, you first need to add up all the possible outcomes. In this case, the total number of shirts that Max can pick from.
Now, find the probability of Max choosing a red shirt from the 12 total shirts.
Since the problem states that there is no replacement, you must recalculate the total number of shirts.
Now, find the probability of Max choosing a striped shirt from the 11 remaining shirts.
To find the probability of both events happening, multiply the two probabilities.
This is the probability that Max will pick a red shirt then a striped shirt without replacing anything.
We need to find the probability of choosing a red shirt, and the probability of choosing striped shirt. Then we will multiply them together.
The chance that he will pick a red shirt would be:
The chance he will pick a striped shirt without replacement would be:
Since he already took a shirt away, the total number of shirts would now be
Now multiply the two probabilities together:
The probability is