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Question

A die rolled 150 times and it outcomes are recorded below :
Outcome123456Frequency253015283220
Find probability of getting :
1. An odd number
2. A multiple of 4


Solution

(i) No. of times “1” appears = 25
No. of times “3” appears = 15
No. of times “5” appears = 32
No. of times on odd no appears = 25+15+32 = 72
No. of favourable outcomes = 72
P (an odd number) = Number of favouable outcomesTotal number of possible outcomes
=72150=1225
(ii) Number of times “4” appears = 28
Number of favourable outcomes = 28
P (a multiple of 4) = Number of favouable outcomesTotal number of possible outcomes
=28150=1475

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