find the probability
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A box contains cards numbered from 1 to 45
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S={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21, 22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45}
n(S)=45
a) a common multiple of 2 and 3
Let the event be A
A={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,9,15,21,27,33,39,45}
n(A)=29
P(A)=n(A)/n(S)
=29/45
b) a multiple of 45
Let the event be B
B={1,3,5,9,15,45}
n(B)=6
P(B)=n(B)/n(S)
=6/45
c) prime number between 41 and 50
Let the event be C
C={41,43}
n(C)=2
P(C)=n(C)/n(S)
= 2/45
Therefore,
P(A)=29/45
P(B)=6/45
P(C)=2/45
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