A fair coin with 1 marked on one face and 6 on the other and a f

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 Multiple Choice QuestionsShort Answer Type

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451. A fair coin with 1 marked on one face and 6 on the other and a fair die are both tossed. find the probability that the sum of numbers that turn up is 12.


The coin has 1 marked on on face and 6 on the other. Let H = 1 or T = 6. The coin and die are tossed together.
 rightwards double arrow S = {(H,1), (H,2), (H,3), (H,4), (H,5), (H,6), (T,1), (T,2), (T,3), (T,4), (T,5), (T,6)}
 rightwards double arrowS = {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}
rightwards double arrow     n(S) = 12

Event B: A total of 12 is obtained.
rightwards double arrow            B = {(6, 6)} rightwards double arrow   n(B) = 1

Hence,       straight P left parenthesis straight B right parenthesis equals fraction numerator straight n left parenthesis straight B right parenthesis over denominator straight n left parenthesis straight S right parenthesis end fraction equals 1 over 12

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452. A fair coin with 1 marked on one face and 6 on the other and a fair die are both tossed. find the probability that the sum of numbers that turn up is greater than 5.
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453. A fair coin with 1 marked on one face and 6 on the other and a fair die are both tossed, find the probability that the sum of numbers that turn up is less than 6.
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454. A fair coin with 1 marked on one face and 6 on the other and a fair die are both tossed, find the probability that the sum of numbers that turn up is 3 or 12.
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 Multiple Choice QuestionsLong Answer Type

455. A committee of two persons is selected from two men and two women. What is the probability that the committee will have:
(a) no man? (b) one man? (c) two men? 
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456. One card is drawn from a well shuffled deck of 52 cards. If the each outcome is equally likely, calculate the probability that the card will be:
(i) a diamond                                                      (ii) not an ace
(iii) a black card                                                  (iv) not a diamond
(v) not a black card 
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 Multiple Choice QuestionsShort Answer Type

457. A card is selected from a pack of 52 cards. How many points are there in the sample space?
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458. A card is selected from a pack of 52 cards. Calculate the probability that the card is an ace of spade.
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459. A card is selected from a pack of 52 cards. Calculate the probability that the card is (i) an ace (ii) black card.
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460.

Find the probability that a hand of 7 cards drawn from a well shuffled deck of 52 cards contain all the four kings.

 

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