Question

Three cards are drawn with replacement from a standard deck. What is the probability that the first card will be a spade, the
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Answer #1

Total number of cards = 52

Total number of spades = 13

Total number of black cards = 26

Total number of ace cards = 4

One can find out the probability by dividing the number of favourable outcomes by the total number of outcomes.

Number of favourable outcomes Probability = = Total number of outcomes

It is given that the cards are drawn with replacement which means that the card is not set aside after drawing and the new draw is from the whole deck of cards.

Probability that the first card will be a spade, the second card will be a black card and the third card will be an ace is calculated below:

13 26 4 52°5252

= 7 * 3 * 13

= 104

= 0.0096

So, the probability is 0.0096.

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