Question

1. what is the probability of flipping three coins one time and each coin lands on tails.
2. what is the probability of spinning a 5 on the spinner shown and rolling a number cube and getting a 5?

Explanation:

Step1: Find coin tail probability

Each coin has 2 outcomes. Probability of tails for 1 coin: $\frac{1}{2}$

Step2: Calculate 3 coins all tails

Multiply individual probabilities: $\frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} = \frac{1}{8}$

Step3: Find spinner 5 probability

Spinner has 6 equal sections. Probability of 5: $\frac{1}{6}$

Step4: Find cube 5 probability

Number cube has 6 sides. Probability of 5: $\frac{1}{6}$

Step5: Calculate combined probability

Multiply spinner and cube probabilities: $\frac{1}{6} \times \frac{1}{6} = \frac{1}{36}$

Answer:

1. $\frac{1}{8}$
2. $\frac{1}{36}$