Question

10. A single card is drawn from a standard deck of cards, the card is noted,...

10. A single card is drawn from a standard deck of cards, the card is noted, then replaced back in the deck. This is repeated a total of 4 times. Find the probability that:

a) all 4 cards drawn are clubs.

b) at least one club is drawn.

Homework Answers

Answer #1

Solution:

A single card is drawn from a standard deck of cards, the card is noted, then replaced back in the deck. This is repeated a total of 4 times.

total club cards in deck = 13

(a) all 4 cards drawn are clubs

probability

probability

probability

(b) at least one club card

P[ atleast one club card] = 1 - P [no club card]

P[ atleast one club card]

P[ atleast one club card]  

P[ atleast one club card]

P[ atleast one club card]

P[ atleast one club card] = 0.6835

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