Question

1. 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? $\frac{1}{2}$ $\frac{1}{8}$ $\frac{1}{16}$ $\frac{1}{20}$ clear all unanswered < previous 1 2 3 4

Explanation:

Step1: Calculate probability of two - tails

A coin has 2 sides. The probability of getting tails in one toss is $\frac{1}{2}$. Since the two coin - tosses are independent events, the probability of getting tails twice is $\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$.

Step2: Calculate probability of a month starting with 'J'

There are 12 months in a year, and 3 months (January, June, July) start with the letter 'J'. So the probability of selecting a month that starts with 'J' is $\frac{3}{12}=\frac{1}{4}$.

Step3: Calculate the combined probability

Since the coin - tosses and the month - selection are independent events, we multiply the probabilities of the two events. The combined probability is $\frac{1}{4}\times\frac{1}{4}=\frac{1}{16}$.

Answer:

$\frac{1}{16}$