A die is thrown and a card is selected at random from a deck of `52` playing cares. The probability of getting an even number of the die and a spade card is

Options

A. a) `1/2`
B. b) `1/4`
C. c) `1/8`
D. d) `3/4`

Answer

c) `1/8`

Explanation

Let,


`E_1= ` Getting an even number on the die


`E_2=` Spade card chosen


Given,


`P(E_1)=3/6=1/2`


`P(E_2)=13/52=1/4`


`P(E_1nnE_2)=P(E_1)⋅P(E_2)=1/2*1/4=1/8`



Hence, correct option is c)