Question

Answer the following questions and use Excel to show your work.

A standard deck of playing cards consists of 52 cards. The cards in each deck consist of 4 suits, namely spades (♠), clubs (♣), diamonds (♦), and hearts (♥). Each suit consists of 13 cards, namely ace, king, queen, jack, 10, 9, 8, 7, 6, 5, 4, 3, and 2. In the game of poker, a royal flush consists of the ace, king, queen, jack, and 10 of the same suit (e.g., ace of spades, king of spades, queen of spades, jack of spades, and 10 of spades).

1. Whatis the probability of randomly selecting 5 cards from a randomly-shuffled deck of playing cards that constitute a royal flush, assuming the order in which the cards are selected is irrelevant(i.e., not important) and the suit is irrelevant(i.e., not important)?

1. 1.5 x 10-6
2. 3.6 x 10-7
3. 7.1 x 10-8
4. 1.5 x 10^-8

2. What is the probability of randomly selecting 5 cards from a randomly-shuffled deck of playing cards that constitute a royal flush, assuming the cards must be selected in a specific order, namely ace, king, queen, jack and 10, and the suit is irrelevant(i.e., not important)?

1. 1.3 x 10-6
2. 2.6 x 10-6
3. 1.3 x 10-8
4. 7.1 x 10-8

Answer 1

Step 1 = Step 2 selecting one snit in 4e, ways for each of the 4e, s- cards can be pieked the 5 happen So, Simplified language : the royal flush can only in 4 ways. Hence Prob = 4 52e5 Eų PIE 2598 760 = ' 0000 001539 = 1.5 y 10 6

Q.2 Now, for each suit it on the Roycle flush I again can be closen 1 way only. But, the sample space will become: 652 p instead of shes as he order now matters, o mer Probability : U u 5285 311875 200 3110 1.3x10-8 Dry fox 120)