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Question below. Now let\'s suppose that Heads is more likely than Tails. It does

ID: 3248068 • Letter: Q

Question

Question below. Now let's suppose that Heads is more likely than Tails. It doesn't matter how much more likely-these coins just give more heads than tails. In this situation, all the outcomes are not equally likely. a. For 2 coin flips, list the outcomes in order of how likely they are. (If there's a tie, put them on the same line.) b. For 3 coin flips, list the outcomes in order of how likely they are. (If there's a tie, put them on the same line.) Bonus! How many outcomes are there for four coin flips? (HHHH, TTTT, etc.) How many outcomes are there for five coin flips? Six?

Explanation / Answer

3.)

Since,the probability of occurance of heads is greater than that of occurance of tails, thus the occurance of outcome with more number of heads is more likely.

a.)

Two coin flips

Most likely (HH)

(HT) (TH)

Least likely (TT)

b.)

Most likely (HHH)

(HHT) (HTH) (THH)

(TTH) (THT) (HTT)

Least likely (TTT)

4.)

Total number of possible outcome in n coin throw = 2 n

Therefore,

Total outcomes of four coin throws = 2 4 = 16 outcomes

Total outcomes of five coin throws = 2 5 = 32 outcomes

Total outcomes of six coin throws = 2 6 = 64 outcomes

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