Question

A coin is tossed and a die is rolled simultaneously. What is the probability of getting a head and a number less than 3?

Write the answer as a fraction.

Answer 1

Answer:
`1/6`

Explanation:

The probability of getting a head is 1/2.

The probability of getting a number less than 3 is 1/3.

• Out of the 6 possibilities, two satisfy this condition: 1 and 2. So, the probability is 2/6 = 1/3.

Since the events are independent, the probability is
`(1/2)(1/3)=1/6`.