SOLUTION: a coin is weighted so that the head is twice as likely to occur as a tails. Find the probability of getting: a.)a head b.)a tail

Algebra ->  Probability-and-statistics -> SOLUTION: a coin is weighted so that the head is twice as likely to occur as a tails. Find the probability of getting: a.)a head b.)a tail      Log On


   



Question 709640: a coin is weighted so that the head is twice as likely to occur as a tails. Find the probability of getting:
a.)a head
b.)a tail

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a coin is weighted so that the head is twice as likely to occur as a tails.
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Let probability of tail = x
Then probability of head = 2x
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x + 2x = 1
3x = 1
x = 1/3 (prob of tail)
2x = 2/3 (prob of head)
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Cheers,
Stan H.
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Find the probability of getting:
a.)a head
b.)a tail