Question 107713: i need help with these probablity questions ans show me how you go to the answers
Three coins are flipped. Find the following probabilities:
a) P(two heads) =
b) P(at most two heads) =
c) P(no heads) =
A single die is rolled. Find the probabilities:
a) P(odd number greater than 1) =
b) P(number less than 5) =
c) P(the number 3 or 7) =
In the game of craps, a player rolls two balanced dice. There are 36 equally likely outcomes. What is the probability that
a) The sum is either 3 or 8?
b) The sum is 6 or "doubles" rolled?
c) The sum is 6 and "doubles" rolled?
d) The sum is 6 and both numbers are odd?
Consider a state lottery that has a weekly television show. On this show, a contestant receives the opportunity to win $1 million. The contestant picks from four hidden windows. Behind each is one of the following: $150,000, $200,000, $1 million, or a "stopper". Before beginning, the contestant is offered $100,000 to stop. Mathematically speaking, should the contestant take the $100,000? Justify your answer.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Three coins are flipped. Find the following probabilities:
a) P(two heads) = 3C2(1/2)^2(1/2)= 3/8
b) P(at most two heads) = 1-P(3 heads) = 1-(1/2)^3 = 1-1/8 = 7/8
c) P(no heads) = (1/2)^3 = 1/8
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A single die is rolled. Find the probabilities:
a) P(odd number greater than 1) = P(3 or 5) = 2/6 = 1/3
b) P(number less than 5) = P(1 or 2 or 3 or 4) = 4/6 = 2/3
c) P(the number 3 or 7) = 1/6+0/6= 1/6
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In the game of craps, a player rolls two balanced dice. There are 36 equally likely outcomes. What is the probability that
a) The sum is either 3 or 8? = 2/36+ 5/36 = 7/36
b) The sum is 6 or "doubles" rolled? = 1/36
c) The sum is 6 and "doubles" rolled?= 1/36
d) The sum is 6 and both numbers are odd?= 1/36
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Consider a state lottery that has a weekly television show. On this show, a contestant receives the opportunity to win $1 million. The contestant picks from four hidden windows. Behind each is one of the following: $150,000, $200,000, $1 million, or a "stopper". Before beginning, the contestant is offered $100,000 to stop. Mathematically speaking, should the contestant take the $100,000? Justify your answer.
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That is a long problem. I suggest you post it separately.
Cheers,
Stan H.
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