Question

A coin and six-faced die, both unbiased, are thrown simultaneously. The probability of getting ahead 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

The correct option is C

$1/4$

Explanation for the correct option:

Calculate the probability :

The probability of getting ahead on the coin $=1/2$

The probability of getting an odd number on the die $=3/6=1/2$

Hence, the probability of getting ahead on the coin and an odd number on the die

$=\frac{1}{2}\times \frac{1}{2}=\frac{1}{4}\left[\because Botheventsareindependent\right]$

Hence the correct option is C.