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