Question

a game consists of randomly choosing a bag labelled 1 2 or 3 out of a choice of 100 and then again randomly picking a ball(red or black) from it. Each bag has the same total number of balls(10). Work out the probability that the player will select a red ball.

Answer 1

.44

Bag 1= .35 .6

Bag 2= .45.2

Bag 3= .2 .7

P(red)= .35 .6 + .45 .2 + .2 .7

Explanation:

Answer 2

.44

Explanation:

Follow the path for each red

Add the probabilities for each one

Bag 1 = .35*.6

Bag 2 = .45*.2

Bag 3 = .2*.7

P(red) = .35*.6 + .45* .2 + .2 *.7

= .44