Question

A bag of marbles contains 3 yellow marbles 5 green marbles and 4 red marbles. A spinner has sections numbers 1 2 3 and 4 Picking a yellow marble and spinning a 4?

Answer 1

`(1)/(16)`

Explanation:

A bag of marbles contains:

• 3 yellow marbles
• 5 green marbles
• 4 red marbles.

Total Number of Marbles=3+5+4=12

• P(Picking a Yellow Marble)
  `=(3)/(12)=(1)/(4)`

The Spinner has sections 1,2,3 and 4

Therefore:

• P(Spinning a 4)
  `=(1)/(4)`

In Probability Theory, P(A and B)=P(A) X P(B)

Therefore:

P(Picking a Yellow Marble AND Spinning a 4)

`=(1)/(4) X(1)/(4) \\=(1)/(16)`