3. A die is thrown once. What is the probability of getting: i) a prime number? ii) a number greater than 2? Iii) a number other than 2 and 5?
3. A die is thrown once. What is the probability of getting: i) a prime number? ii) a number greater than 2? Iii) a number other than 2 and 5?
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Required Answer:
i) a prime number
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>> P(E) = Probability of the occurrence of the event.
>> n(E) = Number of favourable outcomes
>> n(S) = Number of possible outcomes
• Total number of possible outcomes = {1,2,3,4,5,6} = 6
• Number of favourable outcomes = {2,3,5} = 3
(Since, 2,3,5 are prime numbers upto 6)
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⠀⠀⠀⠀⠀_____________
ii) a number greater than 2
⇒
>> P(E) = Probability of the occurrence of the event.
>> n(E) = Number of favourable outcomes
>> n(S) = Number of possible outcomes
• Total number of possible outcomes = {1,2,3,4,5,6} = 6
• Number of favourable outcomes = {3,4,5,6} = 4
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⇒
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⠀⠀⠀⠀⠀_____________
ii) a number other than 2 and 5
⇒
>> P(E) = Probability of the occurrence of the event.
>> n(E) = Number of favourable outcomes
>> n(S) = Number of possible outcomes
• Total number of possible outcomes = {1,2,3,4,5,6} = 6
• Number of favourable outcomes = {1,3,4,6} = 4
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⇒
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⠀⠀⠀⠀⠀_____________