What is the conditional probability that exactly four heads appear when a fair coin is flipped seven times, given that the first clip came up heads? PLEASE ANSWER DIRECTLY NO NEED TO EXPLAIN IN WORDS....THIS IS DISCRETE SUBJECT

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A: we know; n! = n*(n-1)*(n-2)*...*3*2*1 i.e.  n!=n*(n-1)!

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Q: Simplify each of the following expression. (8!7!) 5!4! 7. 12! 3!2! 10 8. 4!3! 45! 0. 43!5!

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Q: (1) What is the value of E(X)? (2) What is the value of Var(X)?

A: Here use basic probability  Probability = (Favorable outcome)/ (total outcomes)

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A: Given: A die is tossed thrice. So, n= 3 Probability of tossing a die = 1/6.

Q: E(X+Y)

A: here given joint probability of (x,y) here possible value of x = 0,1  possible value of y  = 0,1

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