cards each marked with one of the numbers 8,9,10,11,12,.....,30 are placed in a box and mixed thoroughly. one card is drawn at random from the box. find the probability of getting :-
1) an even number
2) an odd number
3) a prime number
4) a number multiple of 5
5) a number divisible by 3
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Answer:
1) n(s)=27
E: an event of getting an even number
n(e)=12
p(e)=n(e)/n(s)
=12/27
=4/9
2)n(s)=27
E: an event of getting an odd number
n(e)=11
=p(e)=11/27
3)n(s)=27
E:an event of getting a prime number
n(e)=6
p(e)=6/27
=2/9
4)n(s)=27
E:an event of getting a number multiple of 5
n(e)=5
p(e)=5/27
5)n(s)=27
E:an event of getting a number divisible by 3
n(e)=8
p(e)=8/27
Hope the answer may help to you
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