7. two cards are drawn from a standard deck of 52 cards. show the calculation and mini tree diag...

Question

Question

7. two cards are drawn from a standard deck of 52 cards.

show the calculation and mini tree diagram you used.

a) if the first card is replaced in the deck after it is drawn, find the probability of drawing a spade after drawing a red card?

b) if the first card is removed feom the deck after it is drawn, find the probability of drawing a spade after drawing a red card?

c) compare 7(a) to 7(b) and explain why it is higher/lower in the second problem?

Answer 1

Answer #1

7. a) Probability of drawing a spade after drawing a red card with replacement= 13/52 = 1/4 = 0.25

b) Cards left after removing a red card = 51

Probability of drawing a spade after drawing a red card without replacement= 13/51 = 0.2549

c) The probability in the second problem is higher. As in without replacement number of cards to select from decreases. so probability increases.

Answer 2

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