A coin is biased so that heads is twice as likely as tails. For three independent tosses of the coin
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Answer:
head= 8/27
tail= 1/9
Step-by-step explanation:
Suppose, probability of head = q
probability of tail = p
Given that probability of head = 2 probability of tail
q = 2p
1-p = 2p
1 = 3p
p = 1/3
q = 1 - p
q = 1 - 1/3
q = 2/3
hence, for 3 independent tosses of the coin probability of head
= (2/3)³
= 8/27
and for 3 independent tosses of the coin probability of tail
= (1/3)³
= 1/9
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