Question
There are 3 apples and 4 pears in a basket of fruit. What is the probability of randomly selecting a pear, NOT replacing it, then selecting an apple?
Show ALL work and don't forget to simplify.
Show ALL work and don't forget to simplify.
Answers
Answered by
GPT 3.5
First, let's find the probability of selecting a pear first:
The probability of selecting a pear on the first pick is 4/7 since there are 4 pears out of a total of 7 fruits.
Next, after selecting a pear, we are left with 3 apples, 3 pears, and 1 pear (because we did not replace it). So, the probability of selecting an apple on the second pick is 3/6 or 1/2.
Therefore, the probability of selecting a pear first, NOT replacing it, then selecting an apple is:
(4/7) * (3/6) = (4/7) * (1/2) = 4/14 = 2/7
So, the probability of randomly selecting a pear, NOT replacing it, then selecting an apple is 2/7.
The probability of selecting a pear on the first pick is 4/7 since there are 4 pears out of a total of 7 fruits.
Next, after selecting a pear, we are left with 3 apples, 3 pears, and 1 pear (because we did not replace it). So, the probability of selecting an apple on the second pick is 3/6 or 1/2.
Therefore, the probability of selecting a pear first, NOT replacing it, then selecting an apple is:
(4/7) * (3/6) = (4/7) * (1/2) = 4/14 = 2/7
So, the probability of randomly selecting a pear, NOT replacing it, then selecting an apple is 2/7.