Three cards are chosen from a standard deck of 52 playing cards with replacement. What is the probability that every card will be a heart

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02-01-2019
Mathematics

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Three cards are chosen from a standard deck of 52 playing cards with replacement. What is the probability that every card will be a heart

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ray2me123 ray2me123 · Answer 1 · 2019-01-02T11:55:15+01:00

Since the card is replaced after every withdrawal , no of cards in deck will remain constant. This is an independent case where one withdraw doesn't change the outcome of other.

So,

Total no of cards in deck(N)=52
No of hearts in a deck(H)=13

Supposing that the card is withdrawn randomly , the probability of getting heart in every card is,

↪P(H)
=No of hearts/ Total no of cards in deck
=H/N
=13/52
=1/4 ➡ANSWER

▶Note:
❇Concept used here:
↪Probability of occurance
=No of favourable events/Total outcome