What is the probability of drawing a spade each time a card is drawn from a deck of 52 cards 3 times, if replacement occurs each time? a.1/2197 b.11/850 c.1/64 d.3/4

 The correct option is (c)

Step-by-step explanation:  We are given to find the probability of drawing a spade each time a card is drawn from a deck of 52 cards 3 times if replacement occurs each time.

Let S denote the sample space for the experiment of drawing a card from a deck of 52 cards

and A denote the event of drawing a spade from the deck of 52 cards.

Then, n(S) = 52  and  n(A) = 13.

So, probability of event A will be

Since replacement occur each time, so the  probability of drawing a spade each time a card is drawn from a deck of 52 cards 3 times will be

Thus, the required probability is

Option (c) is CORRECT.

step-by-step explanation:

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