A box contains 6 red, 4 blue, 2 green and 4 yellow pens. Two pens are picked at random, what is the probability that one is blue and one is yellow?

Total number of pens = 6 + 4 + 2 + 4 = 16 Let S be the sample space. Then, n(S) = number of ways of drawing 2 pens out of 16 = ¹⁶C_{2} = (16 × 15 )/( 2 × 1) = 120 Let E= event of drawing two pens so that one is blue and one is yellow n(E) = ⁴C_{1}× ⁴C_{1}= 4 × 4= 16 ∴ P (E) = (n(E))/(n(S)) = 16/120 = 2/15

- If 2 pens are drawn at random what is the probability that none of them is blue?
- A question is given to Saket, Ankush and Prem. Probability that Saket, Ankush and Prem can solve the question is 1/3, 2/5 and 1/2. Find the probability that the question will be solved.
- In an examination, a candidate is required to pass all six different subjects. The number of ways he can fail is:
- Axe speaks truth only when Wye does not speak truth, then what is the probability that Zed does not speak truth on a question?
- 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?
- From a bag containing 12 white and 15 yellow ribbons, find the probability of picking 2 ribbons of each type at random.
- A bag contains 5 red bottles, 6 yellowbottles and 8 greenbottles . 3bottles are drawn randomly. What is the probability that thebottles drawn contain exactly two yellow bottles ?
- A card is chosen at random from a standard deck of 52 playing cards, without replacing it, a second card is chosen. What is the probability that first card chosen is king and the second card chosen is a Queen?
- What is the probability that the cards drawn contains 1 red card, 1 purple card and 1 yellow card?
- A box contains 3 blue, 2 white and 4 red marbles. If a marble is drawn at random from the box, what is the probability that it would be white.

More Probability Questions

×