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1 answer:
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Answer: a) 0.2222, b) 0.3292, c) 0.1111
Step-by-step explanation:
Since we have given that
Let the probability of getting head be p.
Since, its head is twice as likely to occur as its tail.
a)If the coin is flipped 3 times, what is the probability of getting exactly 1 head?
So, here, n = 3
Now,
b)If the coin is flipped 5 times, what is the probability of getting exactly 2 tails?
2 tails means 3 heads.
So, it becomes,
c)If the coin is flipped 4 times, what is the probability of getting at least 3 tails?
Hence, a) 0.2222, b) 0.3292, c) 0.1111
Solution -
The probability of getting 6 from a single roll of a fair dice =
The probability of getting any other number rather than 6 would be
So when the outcome is 6, then he wins $5 ,otherwise he has to pay $2
So
E(X) = Expectation value = ( ∵ $5 gain so +ve and $2 loss so -ve)
=
∴ So Merrill will lose dollar