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(15) A dice is tossed once. Find the probability of getting (a) a number greater than 4 (b) an even number
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ANSWER WITH EXPLANATION:
(a) Numbers greater than 4 in a dice = 2 (i.e. 5&6)
So, Probability of getting a number greater than 4 : 2/6 = 1/3
(b) Number of even numbers in a dice = 3 (i.e. 2,4&6)
Probability of getting an even no. : 3/6 = 1/2
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We know that sample space S on throwing a dice is S=(1,2,4,5,6]
∴ Total number of cases (possible outcomes) n(S)=6
Event E: Getting a number greater than 4,
E={5,6}Number of favourable Gases =n(E)=2
∴P(E)=n(S)n(E)=62=3/1
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