jack tosses a coin and rolls a number cube labeled 1 through 6. what is the probability that the coin lands…

Explanation:

Step1: Probability of coin - heads

The probability of a fair coin landing on heads is $\frac{1}{2}$ since there are 2 possible outcomes (heads or tails).

Step2: Probability of rolling a 5

The probability of rolling a 5 on a number - cube with 6 possible outcomes (1, 2, 3, 4, 5, 6) is $\frac{1}{6}$.

Step3: Probability of both events

Since the coin - toss and the cube - roll are independent events, the probability of both events occurring is the product of their individual probabilities. So $P=\frac{1}{2}\times\frac{1}{6}=\frac{1}{12}\approx0.083$.

Answer:

0.083