Question

today

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: Calculate 3 coins all tails

Each coin has $\frac{1}{2}$ chance for tails. Combined probability: $\frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} = \frac{1}{8}$

Step2: Calculate spinner + cube probability

Spinner has 6 equal sections, so $P(\text{spinner 5}) = \frac{1}{6}$. Number cube has 6 sides, so $P(\text{cube 5}) = \frac{1}{6}$. Combined probability: $\frac{1}{6} \times \frac{1}{6} = \frac{1}{36}$

Answer:

1. The probability of flipping three tails is $\frac{1}{8}$
2. The probability of spinning a 5 and rolling a 5 is $\frac{1}{36}$