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 non-leap year has 365 days i.e., 52 weeks + 1 day.
The event of 52 sundays depend upon the remaining one day.
As 52 weeks already contain 52 sundays, we do not require sunday from the remaining 1 day.
Possible outcomes for 1 day are:
S = {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday} n(S) = 7
Event A: The year has 52 Sundays. A = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}
(∵ We need 52 Sundays as such we do not need another sunday) n(A) = 6
∴ P(A) = probability of 52 sundays =
(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.