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A coin is tossed twice If heads comes up either time you get 2 dollars If heads does not come up you lose 4 dollars What is the expected value of this game?
Wiki User
∙ 14y ago
There is a .25 chance that no heads will come up. (1/2*1/2=.25)
Therefore, there is a .75 chance that one or more heads will come up.
Value of game = .75*$2-.25*$4=$1.5-$1=$.50
Over time, you should come out ahead.
Wiki User
∙ 14y ago
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A coin is tossed twice if heads comes up either time you get 2 if heads does not come up you lose 4?
This is a good bet to take. Your expected payout is 0.5 each round of the 2 tosses. The possible outcomes from 2 tosses: HT, HH, TT, TH. The probability that heads comes up is 3 in 4 (.75). The probability that heads does not come up is 1 in 4 (.25). Your expected payout is: (2 * .75) + (-4 * .25) = 1.5 - 1 = 0.5
When a coin is tossed 10 times in a row what is the probability that heads comes up at least 7 times?
7/10
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The answer in the back of the book says that it is: TT, TH, H1, H2 H3, H4, H5, H6= 8 possibilities. But I don't understand what that means or how the answer was found. Help?
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A coin is tossed twice If heads comes up either time you get 2 If heads does not come up you lose 4 What is the expected value of this game?
The outcome space is TT, TH, HT, HH: 4 outcomes in all. {One head} = {TH, HT} with prob = 2/4 = 1/2 {No heads} = {TT} with prob 1/4 So E = 2*Pr(one H) - 4*Pr(no H) = 2*(1/2)-4*(1/4) = 1 - 1 = 0
A coin is tossed twice if heads comes up either time you get 2 if heads does not come up you lose 4?
This is a good bet to take. Your expected payout is 0.5 each round of the 2 tosses. The possible outcomes from 2 tosses: HT, HH, TT, TH. The probability that heads comes up is 3 in 4 (.75). The probability that heads does not come up is 1 in 4 (.25). Your expected payout is: (2 * .75) + (-4 * .25) = 1.5 - 1 = 0.5
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When a coin is tossed 7 times in a row what is the probability that heads comes up?
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A coin is tossed If it comes out heads a die is then tossed once if a tail appears the coin is tossed one more time List the possibilities as to how many outcomes are possible?
The answer in the back of the book says that it is: TT, TH, H1, H2 H3, H4, H5, H6= 8 possibilities. But I don't understand what that means or how the answer was found. Help?
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