The probability of getting purple or yellow on the spinner, and then rolling an even number on the dice is P = 1/4, so the correct option is B
How to get the probability?
First, we need to get the individual probabilities.
For the spinner, we can see 4 equal sections such that one is violet and one is yellow. So the probability of getting either violet or yellow is:
q = 2/4.
For the number cube we assume that we have a standard one of 6 sides, with outcomes {1, 2, 3, 4, 5, 6}
Such that 3 out of the 6 outcomes are even, then the probability of rolling an even number is:
p = 3/6 = 1/2.
Then the joint probability (that the two above things happen) is given by:
P =p*q = (1/2)*(1/2) = 1/4.
The probability of getting purple or yellow on the spinner, and then rolling an even number on the dice is P = 1/4, so the correct option is B
If you want to learn more about probability:
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