Question

Please help me out for 50 points

Answer 1

1) 1/2

2)The probability for no heads to occur in four flips was (1/2)x(1/2)x(1/2)x(1/2) = 1/16. 3)

3)Multiply the individual probabilities of the two events together to obtain the combined probability. In the button example, the combined probability of picking the red button first and the green button second is P = (1/3)(1/2) = 1/6 or 0.167.

4)Two (6-sided) dice roll probability table

Roll a… Probability

2 1/36 (2.778%)

3 2/36 (5.556%)

4 3/36 (8.333%)

5 4/36 (11.111%)

5

Answer 2

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1/2

Coin flips are independent trials, with the probability of a success (not heads) being 1/2. With independent probabilities and constant probability of success, the problem fits the requirements for a Bernoulli Trial. Thus, the probability can be calculated by the

P(3) = C(3,3)*(1/2)^3*(1/2)^0 = 1/8.

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