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11. What are the possible combination outcomes when you toss a fair coin three times? (6.25...


11. What are the possible combination outcomes when you toss a fair coin three times? (6.25 points) H = Head, T = Tail a {HHH
11. What are the possible combination outcomes when you toss a fair coin three times? (6.25 points) H = Head, T = Tail a {HHH, TTT) Ob. (HHH, TTT, HTH, THT) c. {HHH, TTT, HTH, THT, HHT, TTH, THH) d. (HHH, TTT, HTH, THT, HHT, TTH, THH, HTT} e. None of these 12. What is the probability of you getting three heads straight for tossing a fair coin three times? (6.25 points) a. 1/2 OD. 1/4 C. 118 d. 1/16 13. What is the probability of you getting no heads at all for tossing a fair coin three times? (6.25 points) . a. 112 D. 114 C 1/8 d. 1/16
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11) What are the possible combination outcomes when you toss a fair coin three times?

The correct answer is Option (d): HHH, TTT, HTH,THT, HHT, TTH,THH, HTT

There are 8 possible outcomes when we toss a fair coin three times.

12) What is the probability of you getting three heads straight for tossing a fair coin three times?

The correct answer is Option (c): 1/8

The sample space for tossing a fair coin three times is,

S = HHH, TTT, HTH, THT, HHT, TTH, THH, HTT

Number of possible outcomes in sample space n(S) = 8

Let A be the event of getting three heads.

A = HHH

Number of outcomes with three heads n(A) = 1

We know that,

Probability = Number of favourable outcomes / Total number of outcomes

The probability of getting three heads straight for tossing a fair coin three times is,

P[A] = n(A)/n(S)

  = 1/8

13) What is the probability of you getting no heads at all for tossing a fair coin three times?

The correct answer is Option (c): 1/8

The sample space for tossing a fair coin three times is,

S = HHH, TTT, HTH, THT, HHT, TTH, THH, HTT

Number of possible outcomes in sample space n(S) = 8

Let B be the event of getting no heads at all.

B = TTT

Number of outcomes with no heads n(B) = 1

We know that,

Probability = Number of favourable outcomes / Total number of outcomes

The probability of getting no heads at all for tossing a fair coin three times is,

P[B] = n(B)/n(S)

  = 1/8

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