Q6 of 128 Page 13

What is the probability that a leap year has 53 Tuesdays and 53 Mondays?

A leap year has 366 days (52 weeks + 2 days)

That two days may be (sun, mon) (mon, tue) (tue, wed) (wed, thurs) (thurs, fri) (fri, sat) (sat, sun)

∴ n(S) = 7

Number of events for the occurrence of 53 Tuesdays and 53 Mondays, n(E) = 1

Three coins are tossed together. Find the probability of getting:

(i) exactly two heads

(ii) at most two heads

(iii) at least one head and one tail.

(iv) no tails

What is the probability that an ordinary year has 53 Sundays?

A and B throw a pair of dice. If A throws 9, find B’s chance of throwing a higher number.

Two unbiased dice are thrown. Find the probability that the total of the numbers on the dice is greater than 10.