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

Options

A. `(1)/(2)`
B. `(3)/(4)`
C. `(1)/(4)`
D. `(2)/(3)`

Answer

C

Explanation

Let E = Event of getting a head on a coin and F = Event of getting an odd number {1, 3, 5}, on a die
`P(E )=(1)/(2), P(F)=(3)/(6)=(1)/(2)`
Since, E and F are independent wvents.
`therefore " " P(E nn F)=P(E ).P(F)`
`=(1)/(2)xx(1)/(2)=(1)/(4)`