From a well - shuffled pack of cards, a card is drawn at random. Find the probability of its being either a queen or a heart.

Options

A. `7/13`
B. `6/13`
C. `5/13`
D. `4/13`

Answer

D

Explanation

Clearly, n(S) = 52.
Let `E_(1)` = event of getting a queen,
and `E_(2)` = event of getting a heart.
Then, `E_(1) nn E_(2)` = event of getting a queen of hearts.
`therefore n(E_(1)) = 4, n(E_(2)) = 13 and n(E_(1) nn E_(2)).`
Now, use `P(E_(1) uu E_(2)) = P(E_(1)) + P(E_(2)) - P(E_(1) nn E_(2)).`