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 balls = 9 red + 7 white + 4 black = 20.
One ball is drawn at random.
∴
(i) Event A: The ball drawn is red.
∴ P (red ball) = P(A) =
(ii) Event B: The ball drawn is red or black.
∴ P(red or black ball) =
(iii) Event C: The ball drawn is not red.
(∵ There are 7 + 4 balls other than red balls)
∴ P(not red) = P(C) =
Alternatively: From (i), P(red ball) = P(A) =
P(not a red ball) =