Question 1046690: If a dice is rolled and a coin is tossed, answer the following questions:
a. Provide the sample space of the above event
b. What is the probability that the dice shows odd number and the coin shows head?
c. Now only a coin is tossed three times but it is biased to get 75% head. What is the probability of getting one head and two tails in any order?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! If a dice is rolled and a coin is tossed, answer the following questions:
a. Provide the sample space of the above event
6 pairs with "head" and 1,2,3,4,5,6
6 pairs with "tail" and 1,2,3,4,5,6
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b. What is the probability that the dice shows odd number and the coin shows head?
(head,1);(head,3);(head,5)
Ans:: 3/12 = 1/4
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c. Now a coin is tossed only three times but it is biased to get 75% head. What is the probability of getting one head and two tails in any order?
Patterns:: (h,t,t)(t,h,t)(t,t,h)
P(h,t,t) = 1/4*(3/4)^2 = 9/48
P(t,h,t) = (1/4)(3/4)^2 = 9/48
P(t,t,h) = (1/4)(3/4)^2 = 9/48
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Ans:: 27/48
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Cheers,
Stan H.
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