Pauline flips a fair coin 3 times, and records the outcomes - Junior Cycle Mathematics - Question 1 - 2014
Question 1
Pauline flips a fair coin 3 times, and records the outcomes.
She writes H for each head and T for each tail.
(i) Complete the table below to show all of the possibl... show full transcript
Worked Solution & Example Answer:Pauline flips a fair coin 3 times, and records the outcomes - Junior Cycle Mathematics - Question 1 - 2014
Step 1
Complete the table below to show all of the possible outcomes.
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Answer
H H H
H H T
H T H
H T T
T H H
T H T
T T H
T T T
Step 2
Find the probability of getting two heads and one tail.
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Answer
To find the probability of getting two heads and one tail, we first note that there are a total of 8 outcomes when a coin is flipped 3 times. The successful outcomes for getting exactly 2 heads and 1 tail are HHT, HTH, and THH. Therefore,
extProbability=Total outcomesNumber of successful outcomes=83.
Step 3
Jamie says: “You have the same probability of getting three heads as you do of getting two heads and one tail.” Do you agree with Jamie? Give a reason for your answer.
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No, I do not agree with Jamie. The probability of getting three heads (HHH) is
extPr(3H)=81
while the probability of getting two heads and one tail is
extPr(2H,1T)=83.
Step 4
Max says: “You have the same probability of getting H H H as you do of getting H T H.” Do you agree with Max? Give a reason for your answer.
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Answer
Yes, I agree with Max. The probabilities of both events are equal.
For HHH:
extPr(HHH)=81
For HTH:
extPr(HTH)=81
There is only one way to get each event.
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