b) Cards are marked with numbers from 15 to 55 and well shuffled. One card is drawn
at random. What is the probability that it is
(i)
a perfect square
a multiple of 3 and 4
A factor of 8.
[3]
Answers
Given : Cards are marked with numbers from 15 to 55 and well shuffled.
One card is drawn at random
To Find : probability that it is
a perfect square
a multiple of 3 and 4
A factor of 8.
Solution:
Cards are marked with numbers from 15 to 55
=> total cards = 55 - 15 + 1 = 41
perfect square are 4 from 15 to 55 : 16 , 25 , 36 , 49
probability that it is perfect square = 4/41
a multiple of 3 and 4 means multiple of 12
24 , 36 , 48
3 such numbers
probability that it is multiple of 3 and 4 = 3/41
A factor of 8.
factor of 8 are 1 , 2 , 4 , 8
None of these is in between 15 and 55
probability that it is factor of 8. = 0
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