Questions 7 &8, please. Question 7 5 pts Step 1. Flip a fair coin. Step 2....

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Question

Questions 7 &8, please.

Question 7 5 pts Step 1. Flip a fair coin. Step 2. If you got a head in step 1, flip two fair coins. If you got a tail in ste

Answer 1

Answer #1

Question 7-

Let X be the event that I get tail in step 1 and Y be the event that I get tails ik step 2.

P(X|Y) = P(XY)/P(Y)

P(XY) = Probability of tail in step 1 and all tails in step 2 = (0.5)(0.5) = 0.25

P(Y) = Probability of getting all tails in step 2 = (0.5)(0.5)+(0.5)(0.5)(0.5) = 0.375

Hence the required probability = 0.25/0.375 = 0.666

Hence there are 66.7% chances that I got tail in step 1 given that I got only tails in step 2.

Question 8-

Total number of possible outcomes = (60)^5

Number of cases when all 5 people roll different numbers = 60*59*58*57*56

Hence the probability = (60*59*58*57*56)/(60)^5 which is 0.8428

Hence there are 84.28% chances that all 5 people will roll different numbers.

Answer 2

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