What is the probability that the cards drawn contains 1 red card, 1 purple card and 1 yellow card?

Probability of getting 1 red card, 1 purple card and 1 yellow card = 4C1 × 5C1 × 3C1 = 4 × 5 × 3 = 60 Probability of drawing three cards = 12C3 = 220 ∴ Required answer = 60/220 = 3/11

- A bag contains 9 black and 10 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
- A box contains 6 Brown and 8 Blue caps. There is another box which contains 8 Brown and 7 Blue caps. One cap is to drawn from either of the two boxes. What is the probability of drawing a Blue caps?
- A bag contains 5 green gems and 7 orange gems. If 2 balls are drawn random, then what is the probability that at least 1 gem is orange.
- A bag contains 24 white and some black balls. If the probability of drawing a black ball from the bag is 1.5 times that of drawing a white ball, find the number of black balls in the bag.
- If 2 pens are drawn at random what is the probability that none of them is blue?
- Given that E and F are events such that P(E) = 0.7, P(F) = 0.4 and P(E cap; F) = 0.3, find P(E|F) and P(F|E)
- 24 defective pens are accidentally mixed with 120 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is taken out at random from this lot. Determine the probability that the pen is taken out is a good one.
- A box contains 5 red, 6 green and 3 yellow balls. 2 balls are drawn at random. What is the probability that they are not of the same colour?
- Coupons numbered 1 to 10 are shuffled and one is drawn. What is the probability that it bears an odd number which is also a multiple of 3?
- If three socks are chosen at random, what is the probability that all are blue socks?

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