If two socks are chosen at random, what is the probability that either all are green or all are black socks?

n(S) = ¹⁰C₂ n(E) = ²C₂ + ⁵C₂ P (E) = (²C₂ + ⁵C₂ )/(¹⁰C₂ ) = 11/45

- 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.
- A bag contains 5 red books, 7 yellowbooks and 7 greenbooks . 3books are drawn randomly. What is the probability that thebooks drawn is not a green book ?
- There are 14 boys and 6 girls giving interview for a job. If three of them are selected, then what is the probability that one of the three is a girl and the other two are the boys?
- Out of three girls and five boys, five children are to be randomly selected for a dance programme. What is the probability that all the selected children are boys?
- If 2 pens are drawn at random what is the probability that none of them is blue?
- Two schools, A and B participate in a Quiz competition. The probability of A’s winning is 3/7 and the probability of B’s winning is 3/5. What is the probability that only one of them wins?
- If the letters of the word PARAM are arranged at random, what is the probability that all vowels will come together?
- A box contains 6 red, 4 blue, 2 green and 4 yellow pens. If four pens are picked at random, what is the probability that one is green, two are blue and one is red?
- A bag contains 18 black and 20 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
- Two schools, A and B participate in a Quiz competition. The probability of A’s winning is 3/7 and the probability of B’s winning is 3/5. What is the probability that only one of them wins?

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