Sec.: 7.5-7.6 It is ok for help from ASC olve the problem. at the number rolled

Question

Sec.: 7.5-7.6 It is ok for help from ASC olve the problem. at the number rolled is odd. 1) If a single fair die is rolled, find the probability of a 4 D) B) 1 2) If two fair dice are rolled, find the probability of a sum of 6 given that the roll is a double. c) A) 3) If two cards are drawn without replacement from an ordinary deck, find the probability that the second card is a spade, given that the first card was a spade. C) D) 12 51 13 17 4) If two cards are drawn without replacement from an ordinary deck, find the probability that the second card is a face card, given that the first card was a queen. C) 51 17 17 13 5) If three cards are drawn without replacement from an ordinary deck, find the probability that the third card is a heart, given that the first two cards were hearts A) C) D) 25 er the question. 6) A pair of fair dice are rolled. Let E be the event that the sum is less than nine. Let F be the event that at least one die shows a six. Are E and F dependent events? A) No B) Yes 7) A pair of fair dice are rolled. Let E be the event that a two shows on the second die. Let F be the event that the total showing is even. Are E and F dependent events? A) Yes B) No le an appropriate response. 8) Classify the events as dependent or independent. The events of getting two aces when two cards are drawn from a deck of playing cards and the firs replaced before the second card is drawn. A) dependent B) independent

Explanation / Answer

1) Answer: 0

2) Only (3,3) combination gives a 6 out of possible 6 double.

Answer: 1/6

3) There are only 12 spades left after drawing one spade.
Answer: 12/51 = 4/17

4) There are 12 face cards in a deck. After drawing one, there are 11 remaining

Answer: 11/51

5) There 11 remaining hearts after 2 hearts are drawn.
Answer: 11/50

6) Answer: Yes. The probability of one is affected by the other

7) Answer: Yes

8)) Independent since the cards are replaced and the probability remains same for both draws

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