Anumber is made from a pack of 100 cards numbered 1 to 100 find the probability of picking a card having a ) a square number number b) a cube number number c )multiple of 12 number d) not an even number.
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n(S)=100
a} let event 'A' be the event in which square numbers are.
A={1, 4, 9, 16, 25, 26, 49, 64, 81, 100}
n(A)=10
P(A)=10/100
= 1/10
.
b} let event 'B' be the event in which cube numbers are
B= {1, 8, 27, 64}
n(B)= 4
P(B)= 4/100
= 1/25
.
c} let event 'C' be the event in which there are multiple of 12
C={12, 24, 36, 48, 60, 72, 84, 96}
n(C)=8
P(C)=8/100
=2/25
.
d}let event 'D' be the event in which there is not an even number
D={1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99,}
n(D)= 50
P(D)=50/100
=1/2
.
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