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Question

Charlie flipped a coin 80 times and got heads 25 times. What is the theoretical and experimental probability of getting tails?

A
0.5,0.5
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B
0.25,0.5
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C
0.5,1116
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D
1,34
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Solution

The correct option is C 0.5,1116
When a coin is flipped, we obtain either heads (H) or tails (T).
Total number of possible outcomes = 2
Total number of outcomes of getting tails = 1

Theoretical probability of getting tails=number of outcomes of getting tailstotal number number of possible outcomes=12=0.5

Given, when Charlie flipped the coin, heads was the outcome 25 times out of 80 times.

Number of times tails was the outcome when Charlie flipped a coin 80 times = 80 − 25 = 55
Let P(T) denote the experimental probability of obtaining tails when a coin is flipped.

P(T)=number of favourable outcomesnumber of total outcomes

P(T)=number of times tail obtainednumber of times the coins is flipped

P(T)=5580=11×516×5

P(T)=1116

The experimental probability of getting tails when Charlie flipped a coin 80 times is 1116.

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