Science (English Medium) कक्षा ११ - CBSE Question Bank Solutions

Fill in the blank in the table:

Fill in the blank in the table:

If A and B are two events associated with a random experiment such that P(A) = 0.3, P (B) = 0.4 and P (A ∪ B) = 0.5, find P (A ∩ B).

If A and B are two events associated with a random experiment such that
P(A) = 0.5, P(B) = 0.3 and P (A ∩ B) = 0.2, find P (A ∪ B).

If A and B are two events associated with a random experiment such that
P (A ∪ B) = 0.8, P (A ∩ B) = 0.3 and P \[(\bar{A} )\]= 0.5, find P(B).

There are three events A, B, C one of which must and only one can happen, the odds are 8 to 3 against A, 5 to 2 against B, find the odds against C

One of the two events must happen. Given that the chance of one is two-third of the other, find the odds in favour of the other.

A card is drawn at random from a well-shuffled deck of 52 cards. Find the probability of its being a spade or a king.

In a single throw of two dice, find the probability that neither a doublet nor a total of 9 will appear.

A card is drawn from a deck of 52 cards. Find the probability of getting an ace or a spade card.

The probability that a student will pass the final examination in both English and Hindi is 0.5 and the probability of passing neither is 0.1. If the probability of passing the English Examination is 0.75. What is the probability of passing the Hindi Examination?

100 students appeared for two examination, 60 passed the first, 50 passed the second and 30 passed both. Find the probability that a student selected at random has passed at least one examination.

In an entrance test that is graded on the basis of two examinations, the probability of a randomly chosen student passing the first examination is 0.8 and the probability of passing the second examination is 0.7. The probability of passing at least one of them is 0.95. What is the probability of passing both?

One of the two events must occur. If the chance of one is 2/3 of the other, then odds in favour of the other are

The probability that a leap year will have 53 Fridays or 53 Saturdays is

A person write 4 letters and addresses 4 envelopes. If the letters are placed in the envelopes at random, then the probability that all letters are not placed in the right envelopes, is

A and B are two events such that P (A) = 0.25 and P (B) = 0.50. The probability of both happening together is 0.14. The probability of both A and B not happening is

If the probability of A to fail in an examination is \[\frac{1}{5}\]  and that of B is \[\frac{3}{10}\] . Then, the probability that either A or B fails is

A box contains  10 good articles and 6 defective articles. One item is drawn at random. The probability that it is either good or has a defect, is