Question

You have a bucket with 7 green ping pong balls, 13 black ping pong balls, and 9 red ping pong balls.
Round to the fourth as needed
A. If 3 ping pong balls are selected at random with replacement, Input the probability they are all green.
Type out your work below.
B. If 3 ping pong balls are selected at random without replacement, Input the probability that none are black.

Answer 1

Answer:

Step-by-step explanation:

A. In each drawing, the odds of choosing green is 7 / (7 + 13 + 9) = 7/29

with replacement, the odds in each drawing are the same

7/29•7/29•7/29 = 7³/39³ = 343 / 24,389

B.

Odds of drawing all non black balls is the sum of odds of drawing the following possible patterns

 ggg  +   ggr   +   grg   +   rgg  +   rrg   +    rgr   +    grr   +   rrr

(7•6•5 + 7•6•9 + 7•9•6 + 9•7•6 + 9•8•7 + 9•7•8 + 7•9•8 + 9•8•7) / 29•28•27 = 3,360/21,924