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In each of the following experimets, wri...

In each of the following experimets, write the sample space (S), the number of sample point [n(S)], events `E_(1) and E_(2)` using set form, `n(E_(1))and n(E_(2)):`
Two-digit numbers, using the digits 5,6,7, are formed without repeating the digits.
(i) `E_(1)` is the event that the number is divisible by 3.
(ii) `E_(2)` is the event that the number is a prime number.

Text Solution

Verified by Experts

`S={56,57,65,67,75,76}" "thereforen(S)=6`
(i)` E_(1)={57,75}" "thereforen(E_(1))=2" "(ii) E_(2)={67}thereforen(E_(2))=1.`
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