Question

The number cube shown is rolled and the spinner shown is spun . Find P(an odd number and yellow)

Answer 1

To find the probability of rolling an odd number and spinning yellow, we first need to find the total number of outcomes.

The number cube has 6 sides, so there are 6 possible outcomes when rolling the cube (1, 2, 3, 4, 5, 6). The spinner has 3 sections, so there are 3 possible outcomes when spinning the spinner (red, blue, yellow).

Since we are looking for the probability of rolling an odd number and spinning yellow, we need to find the number of favorable outcomes.

The odd numbers on the number cube are 1, 3, and 5, and the yellow section on the spinner is 1 out of 3 total sections.

There are 3 favorable outcomes (rolling an odd number and spinning yellow): 3

So, the total number of outcomes is 6 x 3 = 18

Therefore, the probability of rolling an odd number and spinning yellow is:

P(an odd number and yellow) = Favorable outcomes / Total outcomes
P(an odd number and yellow) = 3 / 18
P(an odd number and yellow) = 1 / 6

So, the probability of rolling an odd number and spinning yellow is 1/6 or approximately 16.67%.