Question

A box contains different colored paper clips. The probability of drawing two red paper clips from the box without replacement is 17, and the probability of drawing one red paper clip is 25.What is the probability of drawing a second red paper clip, given that the first paper clip is red?1/65/142/32/35

Answer 1

SOLUTION'

Step 1 :

In this question, we are given the following:

A box contains different colored paper clips. The probability of drawing two red paper clips from the box without replacement is 1/7, and the probability of drawing one red paper clip is 2/5.

What is the probability of drawing a second red paper clip, given that the first paper clip is red?

Step 2 :

We have that:

(2/5) * (Probability that the second draw is red ) = 1/7

Multiply both sides by 5/2 , we have that:

(Probability that the second draw is red ) =

`(1)/(7)\text{ x }(5)/(2)`

(Prob second draw red ) =

`(5)/(14)`

CONCLUSION:

The final answer is :

`(5)/(14)`