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?

Let A be the event of School A wins. Let B be the event of School B wins. Then A’ = Event of the School A fails and, B’ = Event of the School B fails Therefore P(A’) = 1 - 3/7 = 4/7 P(B’) = 1 - 3/5 = 2/5 Required Probability = P(A) × P(B’) + P(B) × P(A’) = 3/7 × 2/5 + 3/5 × 4/7 = 6/35 + 12/35 = 18/35

- 5 coins are tossed together. What is the probability of getting exactly 3 tails?
- Roger Federer play 3 sets of a tennis match. The probability of his winning the three sets are 1/9,1/4,3/4 respectively. What is the probability that he will win at least 1 set of the game?
- Tokens numbered 1 to 350 are in a bag. What is the probability that the Token drawn has a number which is a multiple of 6 or 7?
- Two hats are picked at random, what is the probability that all hats are of green colour?
- A box contains 8 yellow marbles, ‘x’ blue marbles and 12 white marbles. A box contains 5 yellow marbles, 2 blue marbles and 3 white marbles. The probability of drawing a blue marble at random from the box is 1/6. If (x/2) blue marbles from the box is transferred to the bag, then find the probability of drawing a blue marble and a white marble from the box
- One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a Queen card?
- Two hats are picked at random, what is the probability that all hats are of green colour?
- There are three types of maggi masala maggi, aata maggi and vegetable maggi in a bag. The probability of picking a vegetable maggi at random is 6/11. The total number of aata maggi is half of vegetable maggi. The probability picking 1 masala maggi and 1 aata maggi out of total number of maggi is 72/715. Find the total number of maggi in bag.
- Two hats are picked at random, what is the probability that one is blue and one is yellow?
- If 2 pens are drawn at random what is the probability that one is black and one is red ?

More Probability Questions

×