Question

A game is designed where there are two colors of chips in a bag. Each player must draw a colored chip, put it back, and then draw another. If there are 50 white chips and 27 black chips in a bag, what is the probability of drawing two black chips? Round to the nearest thousandth. a0.123 b0.350 c0.422 d0.649

Answer 1

We have the following information

1 bag

50 white chips

27 black chips

we are ask to find

the probability of drawing two black chips

first we find the total amount of chips

50+27=77

then the probability of drawing ONE black chip is given by

p1=27/77

since we are introducing again the chip in the bag the probability to drawing a second black chip is given by

p2=27/77

then the total probability is

P=p1*p2

$P=\frac{22}{77}*\frac{22}{77}$$P=0.123$

then the probability is

A) 0.123