# PROBABILITY WORD PROBLEMS WORKSHEET USING ADDITION THEOREM

Probability Word Problems Worksheet Using Addition Theorem :

Here we are going to see, some practice problems on probability using addition theorem.

## Probability Word Problems Worksheet Using Addition Theorem - Questions

(1)  If P (A) = 2/3, P(B) = 2/5, P(AU B) = 1/3 then find P(AnB).          Solution

(2)  A and B are two events such that, P(A) = 0.42, P(B) = 0.48 and P(A n B) = 0.16. Find

(i) P (not A) (ii) P (not B) (iii) P (A or B)

(3)  If A and B are two mutually exclusive events of a random experiment and P(not A) = 0.45, P(A U B) = 0.65, then find P(B)          Solution

(4)  The probability that atleast one of A and B occur is 0.6. If A and B occur simultaneously with probability 0.2, then find P(A bar) + P(B bar).         Solution

(5)  The probability of happening of an event A is 0.5 and that of B is 0.3. If A and B are mutually exclusive events, then find the probability that neither A nor B happen

(6)  Two dice are rolled once. Find the probability of getting an even number on the first die or a total of face sum 8.             Solution

(7)  From a well-shuffled pack of 52 cards, a card is drawn at random. Find the probability of it being either a red king or a black queen.          Solution

(8)  A box contains cards numbered 3, 5, 7, 9, … 35, 37. A card is drawn at random from the box. Find the probability that the drawn card have either multiples of 7 or a prime number.

(9)  Three unbiased coins are tossed once. Find the probability of getting atmost 2 tails or atleast 2 heads.

Solution

(10)  The probability that a person will get an electrification contract is 3/5 and the probability that he will not get plumbing contract is 5/8 . The probability of getting atleast one contract is 5/7. What is the probability that he will get both?         Solution

(11)  In a town of 8000 people, 1300 are over 50 years and 3000 are females. It is known that 30% of the females are over 50 years. What is the probability that a chosen individual from the town is either a female or over 50 years?                Solution

(12)  A coin is tossed thrice. Find the probability of getting exactly two heads or atleast one tail or consecutive two heads.            Solution

(13)  If A, B, C are any three events such that probability of B is twice as that of probability of A and probability of C is thrice as that of probability of A and if P(A n B) = 1/6, P(BnC) = 1/4, P(AnC) = 1/8, P(A U B U C) = 9/10, P(A n B n C) = 1/15, then find P(A), P(B) and P(C) ?       Solution

(14)  In a class of 35, students are numbered from 1 to 35. The ratio of boys to girls is 4:3. The roll numbers of students begin with boys and end with girls. Find the probability that a student selected is either a boy with prime roll number or a girl with composite roll number or an even roll number.       Solution After having gone through the stuff given above, we hope that the students would have understood, "Probability Word Problems Worksheet Using Addition Theorem".

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