A card is drawn at random from a pack of 52 playing cards. Given that the card is a king, find the probability that the card is a heart. Give your answer as a fraction in its simplest form.

Question

27-10-2022
Mathematics

contestada

A card is drawn at random from a pack of 52 playing cards. Given that the card is a king, find the probability that the card is a heart. Give your answer as a fraction in its simplest form.

$A card is drawn at random from a pack of 52 playing cards Given that the card is a king find the probability that the card is a heart Give your answer as a frac class=$

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KymoraO215329 KymoraO215329 · Answer 1 · 2022-10-27T17:00:07+02:00

Solution

Step by Step Calculation:

A card is drawn at random from a pack of 52 playing cards.

probability = number of required outcome/ number of possible outcome

Probability of getting a king is because there are total 4 Kings in a deck

In a standard deck of 52 playing cards, the probability of drawing a heart is 13/52

There are thirteen hearts, and only one of them is a king.

Hence the probability that the card is a heart =

[tex]Pr(K|heart)=Pr(K\cap HEART)=\frac{1}{52}[/tex]

Therefore the the probability the card is a king and the card is a heart = 1/52