carterkanye7977 carterkanye7977
  • 22-04-2020
  • Mathematics
contestada

a person selects 3 cards from an ordinary deck and replaces each card after it is drawn. Find out the probability that the person will get at least one heart

Respuesta :

Newton9022 Newton9022
  • 23-04-2020

Answer:

P(at least one Heart)= 37/64

Step-by-step explanation:

Number of cards in the Deck=52

Number of Hearts=13

Number of Non-Hearts Card=52-13=39

Since we require the probability that the person will get at least one heart, we can first find the probability that the person will not pick a heart out of the three cards and find its complement.

P(Picking three Non Heart Cards)=39/52 X 39/52 X 39/52 =27/64

Therefore:

P(at least one Heart)=1-27/64=37/64

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