Answer to Question #156641 in Statistics and Probability for leosayas04

Question

In case of drawing a card, what is the probability of getting:

a. Black even number card

b. Red face

c. Black heart

Answer 1

A deck of card contain $52$ cards. Let $A,B,C$ be three events such that ,

$A=$ getting black even number card

$B=$ getting red face card

$C=$ getting black heart

(a) The total number of black even number cards are $10.$

Therefore probability of getting black even number card is $P(A)=\frac {10}{52}=\frac{5}{26}$.

(b) There are $12$ face cards in a deck of $52$ cards out of which there are $6$ red face cards.

Therefore probability of getting a red face card is $P(B)=\frac{6}{52}=\frac{3}{26}$

(c) There are no Black heart card in a deck of 52 cards.

Therefore probability of getting black heart is $P(C)=0$