Question

An urn contains seven blue and three yellow chips. if the drawing of chips is done with replacement, what is the probability of drawing a yellow chip on the second draw given that a yellow chip was drawn on the first draw.

Answer 1

Since the draws are done with replacement, they are independent. This means that it does not matter what happens with previous draws, and that the total number of chips remains the same.

From the information given,
Total number of chips = 7+3 = 10
Blue chips = 7
Yellow chips = 3

Therefore,
P(Blue chip) = 7/10
P(Yellow chip) = 3/10

In this regard, the probability of drawing a yellow chip on the second draw given that the first draw was a yellow chip remains the same.
That is,

P(Yellow chip on second draw) = 3/10