Combinatorics in Calculating Probabilities for Multiple Events
In an experim...
Question
In an experiment of tossing a coin, if head is obtained then the coin is tossed again and if tail is obtained then a die is rolled. What is the probability of obtaining a tail on the coin and number 3 on the die?
A
18
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B
16
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C
12
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D
112
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Solution
The correct option is D112
The experiment performed can be shown as:
Let P(T) denotes the probability of obtaining a tail on the coin in the beginning. P(T)=1C12C1 P(T)=12
Let P(3) denotes the probability of obtaining number 3 on the die. P(3)=1C16C1 P(3)=16
Let P(T and 3) denotes the probability of obtaining tail on the coin and number 3 on the die. P(T and 3)=P(T)×P(3) =12×16 =112
The probability of obtaining tail on the coin and number 3 on the die is 112.