Question

Mike has only 2 red apples and 3 green apples in abowl. Without looking he chooses an apple and doesnot replace it. Then he chooses another apple. What isthe probability that both apples chosen will be red?

Answer 1

First pick: Random apple

2 out of the 5 apples are red. Therefore, the probability of choosing a red apple is:

`(2)/(5)`

Second pick: Red apple removed

We're left with 4 apples, one of which is red.

Therefore, the probability of choosing the red apple from this bowl is:

`(1)/(4)`

To get the probability of the two events happening right next to each other, we mulitply both probabilities:

`(2)/(5)\cdot(1)/(4)=(1)/(10)`

Meaning that the probability that both apples chosen will be red is 1/10, or 10%