Question

Kayla has a red number cube and a blue number cube. Each number cube has faces labeled 1 through 6.
What is the probability Kayla rolls an even number on the red cube and a multiple of 3 on the blue cube?
ΟΑ.
16%
B. 25%
O c 33%
D. 50%
E. 83%

Answer 1

The probability Kalya rolls an even number on the red cube and a multiple of $3$ on the blue cube is $16%$ percent, when both the cubes have faces labeled $1$ through $6$.

Probability

The ratio of the favourable number of outcomes to the total number of outcomes is known as Probablity.

How to find the probability?

First, find the possible outcomes.

Kalya has a red number cube and a blue number cube. Each number cube has faces labeled $1$ through $6$.

So, possible outcomes $=(6$×$6)=36$

Let, $S$ be the sample space.

Then, $n(S)=36$

Let, $E=$the event of getting an even number on the red cube and a multiple of $3$ on the blue cube.

$E=(2,3),(2,6),(4,3),(4,6),(6,3),(6,6)$

Then, $n(E)=6$

Let, $P$ is the probability of the event $E$.

So, $P(E)=\frac{n(E)}{n(S)}=\frac{6}{36}=\frac{1}{6}$≈$16$ percent

Thus, the probability Kalya rolls an even number on the red cube and a multiple of $3$ on the blue cube is $16$ percent.

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