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.
(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.
Total number of coins
= 8 (One rupee coins) + 6 (two rupee coins) + 7 (five rupee coins)
= 8 + 6 + 7 = 21
One coin is drawn.
∴
(i) Event A: A five rupees coin is drawn n(A) =
∴
(ii) Event B: A two rupees coin is drawn n(B) =
∴
(iii) Event C: A two rupees or five rupees coin is drawn. n(C) =
(iv) Event D: A one rupee coin is drawn
n(D) =
P(D) = P(one rupee coin) =
Hence, (not a one rupee coin) = 1 -P(D) =
(v) From part (i), P(A) = P(a five rupee coin) =
∴ P(not a five rupee coin) =
(vi) Event E: A one rupee coin or two rupees coin is drawn.
∴