a die is thrown 500 times. the frequency of number (1 to 6) appearing on the uppermost face are given
outcome= 1      2     3     4     5     6
frequency=89   75   78   73   88  97
find the probability of having an outcome:
1. number > 4
2. number< 4
3. number between 1 and 3

 

Dear Student,

1.Number of times 5 ocurrs = 88Number of times 6 ocurrs = 97Number of favourable outcomes = 88+97 = 185Total possible outcomes = 500Required probability = Number of favourable outcomes total possible outcomes = 185500 = 371002.Number of times 1 ocurrs = 89Number of times 2 ocurrs = 75Number of times 3 ocurrs = 78Number of favourable outcomes = 89+75+78 = 242Total possible outcomes = 500Required probability = Number of favourable outcomes total possible outcomes = 242500 = 1212503.Number of times 2 ocurrs = 75Number of favourable outcomes = 75Total possible outcomes = 500Required probability = Number of favourable outcomes total possible outcomes = 75500 = 320

Regards

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