b.) P (EUF) or tilde IHINT: Apply GART 12 12 1.) (8 points) Suppose you are 03 /
ID: 3325464 • Letter: B
Question
b.) P (EUF) or tilde IHINT: Apply GART 12 12 1.) (8 points) Suppose you are 03 /4 following rule to decide who will pay the but er two, will pay at a pizza parlor with two friends. Y ou have bill. Each person will toss a coin The person, Herent from the other two, will pay the entire result, the bill will be shared by all. Hint: A tree diagram would bo helpful, but is not necessary to solve this problem. Recall that the sample space for tossing one coin 3 times is equivalent to the sample Find the probability that: space for tossing 3 coins one time.) a.) You will have to pay the entire bill b.) All three will share the bill. are randomly drawn one at time without replacement (WOR). ) Use a tree diagram to find the probability that 1white and 1 red marbl ler) are drawn. oints) From a box containing 3 white (W), 2 green (G), and 1 red(R) marbExplanation / Answer
a)
You will pay the entire bill when you'll get tails and two friends will get heads or, when you'll get heads and two friends will get tails. So, the probability that you will pay the entire bill
= P(H) * P(T) * P(T) + P(T) * P(H) * P(H)
= (1/2) * (1/2) * (1/2) + (1/2) * (1/2) * (1/2)
= (1/8) + (1/8) = 1/4
b)
All three will share the bill, when each person will get either a heads or tails. So, the probability that all three will share the bill
= P(H) * P(H) * P(H) + P(T) * P(T) * P(T)
= (1/2) * (1/2) * (1/2) + (1/2) * (1/2) * (1/2)
= (1/8) + (1/8) = 1/4
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