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RSB [31]
3 years ago
6

the probability of drawing a heart from a standard deck of 52 playing cards is 1/4. The probability of drawing a face card from

a standard deck of 52 playing cards is 3/13. Based on this, Drew determines that the probability of drawing a heart face card is 3/52. Is this correct?
Mathematics
2 answers:
otez555 [7]3 years ago
7 0

Answer:  The answer is YES.

Step-by-step explanation:  Let 'A' and 'B' represents the events of drawing a heart and a face card respectively from a standard deck of 52 playing cards.

Then, the probability of drawing a heart from a standard deck of 52 playing cards is

P(A)=\dfrac{1}{4},

and the probability of drawing a face card from a standard deck of 52 playing cards is

P(B)=\dfrac{3}{13}.

So, the probability drawing a heart face card will be given by

P(A\cap B).

Since we cannot draw a card that is both heart and face card, so the events 'A' and 'B' are independent.

Therefore, we have

P(A\cap B)=P(A)P(B)=\dfrac{1}{4}\times \dfrac{3}{13}=\dfrac{3}{52}.

Thus, Drew is absolutely CORRECT.

Nesterboy [21]3 years ago
3 0
Yes, it is correct....
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