Find the probability that a hand of 7 cards drawn from a well shuffled deck of 52 cards contain exactly three kings.
Find the probability that a hand of 7 cards drawn from a well shuffled deck of 52 cards contain at least 3 kings.
Find the probability that a hand of 7 cards drawn from a well shuffled deck of 52 cards contain at most 3 kings.
A leap year has 366 days = 52 weeks + 2 days
The event of 53 sundays depends upon the remaining 2 days.
Possible outcomes from remaining 2 days are:
S = {Sunday/Monday, Monday/Tuesday, Tuesday/Wednesday, Wednesday/Thursday, Thursday/Friday, Friday/Saturday, Saturday/Sunday} n(S) = 7
Event B: The year has 53 sundays B = {Sunday/Monday, Satruday/Sunday}
(Since we require 1 more sunday to make it 53) n(B) = m = 2
P(B) = probability of 53 Sundays in leap year =
(i) a five rupees coin. (ii) a two rupees coin.
(iii) a two rupees or a five rupees coin. (iv) not a one rupee coin,
(v) not a five rupees coin. (vi) a one rupee or two rupees coin.