if you flip one coin and roll one six - sided number cube, find the probability of landing on tails and…

if you flip one coin and roll one six - sided number cube, find the probability of landing on tails and rolling an even number at the same time. write your answer as a simplified fraction. (1 point)

if you flip one coin and roll one six - sided number cube, find the probability of landing on tails and rolling an even number at the same time. write your answer as a simplified fraction. (1 point)

Answer

Explanation:

Step1: Find probability of tails

A coin has 2 sides. Probability of tails is $\frac{1}{2}$.

Step2: Find probability of rolling an even number

A six - sided cube has 6 outcomes. Even numbers are 2, 4, 6. So probability of rolling an even number is $\frac{3}{6}=\frac{1}{2}$.

Step3: Use multiplication rule for independent events

Since coin - flip and cube - roll are independent, multiply probabilities. $\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$.

Answer:

$\frac{1}{4}$