A box contains 12 cards marked with the number 1 to 12. one card is drawn from the box at random. What is the probability that the number on the card is not perfect square.
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Answer:
Step-by-step explanation:Let A and B be the events of "The number on the card drawn is even" and "the number on the card is greater than 3"
Therefore,
s=1,2,3,4,5,6,7,8,9,10,11,12
A=2,4,6,8,10,12 and
B=4,5,6,7,8,9,10,11,12
and (A∩B)=4,6,8,10,12
p(A)=
12
6
,p(B)=
12
9
and P(A∩B)=
12
5
so he required probablity is:
P(
B
A
)=
P(B)
P(A∩B)
=
12
5
×
9
12
=
9
5
This is the right solution.
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