Question

jack flips a coin and rolls a number cube labeled 1 through 6. what is the probability that the coin lands on heads and jack rolls the number 5? round the answer to the nearest thousandths. enter the answer in the box.

Explanation:

Step1: Find P(coin lands on heads)

A fair coin has 2 outcomes, so $P(\text{heads}) = \frac{1}{2}$

Step2: Find P(rolls a 5)

A 6-sided cube has 6 outcomes, so $P(5) = \frac{1}{6}$

Step3: Calculate combined probability

Multiply the two independent probabilities: $P(\text{heads and 5}) = \frac{1}{2} \times \frac{1}{6} = \frac{1}{12}$

Step4: Convert to decimal, round to thousandths

$\frac{1}{12} \approx 0.083$

Answer:

0.083