Question

What is the probability of rolling a number less than 5 on a number cube and then spinning an even number on a spinner divided into 8 equal sectors numbered 1 through 8? Enter your answer, as a simplified fraction, in the boxes.

Answer 1

The probability of rolling a number less than 5 on a dice and then spinning the spinner would be 2/3 * 4/8(half the numbers on the spinner are even), so we get
and 8/24 possibility, which would simplify to
1/3.

Hope this helps!

Answer 2

1 ÷ 3 or 0.3333

Explanation:

The Sample Space of rolling a number less than 5 on a number cube is {1, 2, 3, 4}.

Since we have total possible sample = 6

∴ Probability of number less than 5 on a cube =
`(4)/(6)`

Similarly we have 4 even numbers between 1 to 8.

∴ Probability of Spinning an even number on a spinner =
`(4)/(8)`

Hence, Total probability of Rolling a number less than 5 on a cube and then spinning an even number on a spinner =
`(4)/(6)*(4)/(8)`

`= (2)/(3)*(2)/(4)`

`= (4)/(12) = (1)/(3) = 0.33`