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Question

# For the diagram given below, find the probability of getting a Tail when a fair coin is tossed. Also, identify the favorable and desirable outcome.

A
P(T)=12
Favorable outcome = Getting a Head
Desirable outcome = Getting a Tail
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B
P(T)=12
Favorable outcome = Getting a Tail
Desirable outcome = Getting a Tail
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C
P(T)=12
Favorable outcome = Getting a Head
Desirable outcome = Getting a Head
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D
P(T)=12
Favorable outcome = Getting a Tail
Desirable outcome = Getting a Head
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Solution

## The correct option is D P(T)=12 Favorable outcome = Getting a Tail Desirable outcome = Getting a HeadWhen a fair coin is tossed, the sample space S obtained is: S={H,T} where H stands for Head and T stands for Tail. Let P(T) denotes the probabilty of getting a Tail. Then, P(T)=Number of favorable outcomesTotal number of outcomes In this case, Number of favorable outcomes =1 Total number of outcomes =2 P(T)=12 The probability of getting a Tail when a fair coin is tossed is 12. The desirable outcome is "getting a Head" as getting a Head signifies a win. Therefore, option (d.) is the correct answer.

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