Aspinner with 4 congruent sectors labeled 1-4 is spun. then a die is rolled. what is the probability of getting even numbers on both events?

The spinner is divided into 4 equal sections number 1 to 4.

So, for spinner, total sections = 4
Favorable sections = 2 (i.e sections with even numbers)

So, probability of getting even number on the spinner = 2/4 = 1/2

Total number of outcome when a dice is rolled = 6
Favorable outcomes= 3 (i.e outcomes with 2,4 and 6)

So, probability of getting an even number = 3/6 = 1/2

Since both events are independent, we can write:

The probability of getting an even number in both events = 1/2 x 1/2 = 1/4

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