Please help me! x-1/12 = 7/2 a: 2 b: 6 c: 41 d: 43
1 answer:
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Answer:
(a) The probability that all three tosses land on heads given that the 1st toss lands on Heads is .
(b) The probability that all three tosses land on heads given that at least one toss lands on heads is .
Step-by-step explanation:
The sample space of tossing 3 coins is:
S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} = 8 outcomes.
(a)
The sample space such that the 1st toss lands on Heads is:
S₁ = {HHH, HHT, HTH, HTT} = 4 outcomes.
The probability that all three tosses land on heads given that the 1st toss lands on Heads is:
P (3 Heads | 1st toss is Heads) =
Thus, the probability that all three tosses land on heads given that the 1st toss lands on Heads is .
(b)
The sample space such that at least one toss lands on heads is:
S₂ = {HHH, HHT, HTH, THH, HTT, THT, TTH} = 7 outcomes
The probability that all three tosses land on heads given that at least one toss lands on heads is,
P (3 Heads | At least 1 Heads)
Thus, the probability that all three tosses land on heads given that at least one toss lands on heads is .