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?

Answer 1

To calculate the probability of selecting a pear first, we have 4 pears out of a total of 7 fruits in the basket, so the probability of selecting a pear is 4/7.

After selecting one pear and not replacing it, there are now 3 pears and 3 apples left in the basket. The probability of selecting an apple after selecting a pear is 3/6.

To find the overall probability of this event happening, we multiply the probabilities of each step:

(4/7) * (3/6) = 12/42 = 2/7

Therefore, the probability of randomly selecting a pear first, not replacing it, and then selecting an apple is 2/7.