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a card is draw from a standard deck of 52 playing cards find the probability the card is a jack or a heart

1 Answer

4 votes

Answer:

4/13

Explanation:

The question asking to find P(jack or heart)

You have to use the formula below:

P(A or B) = P(A) + P(B) - P(A and B)

Event A here is jack and event B is heart, now let's find the three probabilities on the right side to be able to find the left side.

P(jack) =4/52 because there are 4 jacks in a standard deck of cards

P(heart) =13/52 because there are 13 heart cards

P(jack and heart) =1/52 because there is only one jack card with a heart symbol

Now, plug in the three answers in the above formula:

P(jack or heart) = 4/52 + 13/52 - 1/52

this equal to 16/52

Last step, reduce the result by dividing the top and the bottom numbers by 4

The final answer is 4/13

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