Question

A bag contains 16 red, 15 blue, and 14 yellow balls. 2 balls are drawn without

replacement. Find the probability that:
a. Blue, then yellow is selected


b. Red, then red is selected

Answer 1

`16+15+14=45` - the total number of balls

`|\Omega|=45\cdot44=1980`

a)

`A` - blue, then yellow is selected

`|A|=15\cdot14=210\\\\P(A)=(210)/(1980)=(7)/(66)\approx10.6\%`

b)

A - red, then red is selected


`|A|=16\cdot15=240\\\\P(A)=(240)/(1980)=(4)/(33)\approx12.1\%`