Question

A card is drawn from a standard deck. Find the
probability of drawing a heart or a 7.​

Answer 1

Step-by-step explanation:

Given:A card is drawn from a standard deck.

To find:Find the probability of drawing a heart or a 7.

Solution:

Tip:

Probability of events A and B which are not mutually exclusive

$P(A\:or\:B)=P(A)+P(B)-P(A\cap B)$

Total cards in deck 52.

Total heart cards in a deck are 13.

Total 7 numbered card 4

Probability of drawing heart card= 13/52

Probability of drawing 7 numbered card = 4/52

It is also possible that one card which is drawn from deck is 7 of heart,thus Probability of 7 of heart is 1/52

Since both events are not mutually exclusive, thus Probability of drawing a heart or a 7 is

Probability of drawing a heart or a 7 numbered card is

$\frac{13}{52} + \frac{4}{52} -\frac{1}{52} \\ \\ = \frac{16}{52}$

Final answer:

Probability of drawing a heart or a 7 is 16/52

Hope it helps you.

To learn more on brainly:

find the probability of getting 53 Sundays in a leap year

https://brainly.in/question/2907967