In this page 10th grade probability worksheet3 we are going to see some practice questions in the topic probability. For each problems you can find solution with detailed explanation.

 Questions Solution (1) If A and B are mutually exclusive events such that P(A) = 3/5 and P(B) = 1/5,then find P (AUB) Solution (2) If A and B are two events such that P(A) = 1/4,P(B) = 2/5 and P(AUB) = 1/2,then find P(A∩B) (3) If P(A) = 1/2,P(B) = 7/10,P(AUB) = 1,find (i) P (A∩B)    (ii) P(A' U B') (4) If a die is rolled twice,find the probability of getting an even number in the first time or a total of 8. (5) One number is chosen randomly from the integers 1 to 50. Find the probability that it is divisible by 4 or 6. Solution (6) A bag contains 50 bolts and 150 nuts. Half of the bolt and half of the nuts are rusted. If an item is chosen at random,find the probability that it is rusted or that it is a bolt. Solution (7) Two dice are rolled simultaneously. Find the probability that the sum of the numbers on the faces neither divisible by 3 nor by 4. Solution (8) A basket contain 20 apples and 10 oranges out of which 5 apples and 3 oranges are rotten. If a person takes out one fruit at random, find the probability that the fruit is either an apple or good fruit. Solution (9) In a class,40% of the students participated in mathematics quiz,30% in science quiz and 10% in both the quiz programmes. If a student is selected at random from the class,find the probability that the student participated in mathematics or science or both quiz programmes. Solution (10) A card is drawn at random from a well-shuffled deck of 52 cards. Find the probability that it will be a spade or a king. Solution (11) A box contains 10 white,6 red and 10 black balls. A ball is drawn at random. Find the probability that the ball drawn is white or red. Solution (12) A two digit number is formed with the digits ,5,9 (repetition is allowed). Find the probability that the number is divisible by 2 or 5. Solution (13) Each individual letter of the word "ACCOMMODATION" is written in a piece of paper,and all 13 pieces of papers are placed in a jar. If one piece of paper is selected at random from the jar,find the probability that (i) The letter "A" or "O" is selected(ii) The letter "M" or "C" is selected Solution (14) The probability that a new car will get an award for its design is 0.25,the probability that it will get an award for efficient use of fuel is 0.35 and the probability that it will get both the awards is 0.15. Find the probability that (i) it will get at least one of the two awards(ii) it will get only one of the awards Solution (15) The probability that A,B and C can solve a problem are 4/5,2/3 and 3/7 respectively.The probability of the problem being solved by A and B is 5/15,B and C is 2/7,A and C is 12/35. The probability of the problem being solved by all the three is 8/35.Find the probability that the problem can be solved by atleast one of them. Solution  