3 A sample space consists of 64 separate events that are equ

3) A sample space consists of 64 separate events that are equally likely. What is the probability of each? Since a sample space consists 64 events and all equally. The probability of each event is 1/64 In general when there are n events where all events are equally likely the probability for each event is 1/n.

Solution

Sample size elements = 64

Prob for each = 1/64

Because total prob =1,

we must have 64 p = 1

Hence p = 1/64

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This can be generalised as for n equally likely events total prob = 1

Prob for each event = 1/n