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Probability
If a leap year is selected at random, what is the chance that it will contain 53 Tuesdays?
Leap year contains 366 days.
∴ there are 52 complete weeks and two days other. The following are the possibilities for these two ‘over’ days:
(i) Sunday and Monday (ii) Monday and Tuesday (iii) Tuesday and Wednesday
(iv) Wednesday and Thursday (v) Thursday and Friday (vi) Friday and Saturday (vii) Saturday and Sunday.
Now there will be 53 Tuesdays in a leap year when one of the two over days is a Tuesday.
∴ out of 7 possibilities, two are favourable to this event.
If each element of a second order determinant is either zero or one, what is the probability that the value of determinant is positive? (Assume that the individual enteries of the determinant are chosen independently, each value being assumed with probability 
There are four entries in determinant of 2 × 2 order. Each entry may be filled up in two ways with 0 or 1.
∴ number of determinants that can be formed = 24 = 16
∴ total number of cases = 16
The value of determinant is positive in the cases
number of favourable cases = 3
the probability that the determinant is positive = 
The probability of obtaining an even prime number on each die, when a pair of dice is rolled is
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0
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-
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0
D.
S =
Now favourable case is(2, 2)
.
...(1)
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