What is the probability that a leap year has 52 Mondays?
Total numbers of elementary events are: 7
Let E be the event of having exactly 52 Mondays
Note- a leap year has 366 days or 52 weeks and 2 day. Two days could be any days amongst Sunday, Monday, Tuesday, Wednesday, Thursday, Friday or Saturday.
Favorable outcomes are: Tuesday, Wednesday, Thursday, Friday, Saturday,
Number of favorable outcome is = 5
P (52 Mondays) = P (E) = 5/7
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A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears (i) a two-digit number, (ii) a perfect square number, (iii) a number divisible by 5.RS Aggarwal - Mathematics