0 Cards: Suppose you draw two cards without replacement. Round your answers to 3

Question

0 Cards: Suppose you draw two cards without replacement. Round your answers to 3 significant digits*. (a) What is the probability of getting a jack then a jack again? p(jack on the first and jack on the second) (b) What is the probability of getting a jack then a king? Ruck on the first and king on the second) = significant Digits: Here are some probabilities expressed to 3 significant digits. You start counting digits from left to right starting with the first non-zero digi 0.123 0.0123 0.00123 0.102 0.350 0.300 Background playing card information: In a standard deck of playing cards there are 52 cards total. There are 4 suits: hearts diamonds spades . dubs . Each suit has 13 values: 2 3 4 5 6 78 9 10 jack queen king ace Additional Materials

Explanation / Answer

in a pack there are 52 cards and 4 jacks and 4 kings

so 1)

when cards are picked without replacement

P(first jack) = 4/52

P(second jack) = 3/51 ( as 1 jack is picked , and the card deck size is reduced )

so required probability is

4/52 * 3/51 = 0.0045

2)

when cards are picked without replacement

P(first jack) = 4/52

P(second king) = 4/51 ( as 1 jack is picked , number of kings are stil 4,and the card deck size is reduced )

so required probability is

4/52 * 4/51 = 0.0060

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