Question

a coin is tossed two times, then a month of the year is randomly selected. what is the probability of getting tails each time, and a month that starts with the letter j?
○ 5/4
○ 1/8
○ 1/16
○ 1/24
○ 1/12

Explanation:

Step1: Probability of two tails

Each toss has 2 outcomes; two tosses: $2×2=4$ total. Two tails is 1 outcome. Probability: $\frac{1}{4}$.

Step2: Probability of J-month

12 months total; J-months: Jan, Jun, Jul (3). Probability: $\frac{3}{12}=\frac{1}{4}$.

Step3: Combined probability

Multiply probabilities: $\frac{1}{4}×\frac{1}{4}=\frac{1}{16}$.

Answer:

C. 1/16