Question

A coin and a six faced die, both unbiased, are thrown simultaneously. The probability of getting a head on the coin and an odd number on the die is

• A. $1/2$
• B. $3/4$
• C. $1/4$
• D. $2/3$

Answer 1

Answer: (C)

$1/4$

The probability of getting a head on the coin $=\frac{1}{2}$
An odd number on the die is $=1,3,5$
The probability of getting an odd number on the die is $=\frac{3}{6}$
The two events are independent of each other.
The probability of getting a head on the coin and an odd number on the die $=\frac{1}{2}\times \frac{3}{6}=\frac{1}{4}$