Science (English Medium) Class 11 - CBSE Question Bank Solutions

The accompanying Venn diagram shows three events, A, B, and C, and also the probabilities of the various intersections (for instance, P(A ∩ B) = .07). Determine Probability of exactly one of the three occurs

A bag contains 8 red and 5 white balls. Three balls are drawn at random. Find the probability that all the three balls are white

A bag contains 8 red and 5 white balls. Three balls are drawn at random. Find the probability that all the three balls are red

A bag contains 8 red and 5 white balls. Three balls are drawn at random. Find the probability that all one ball is red and two balls are white

If the letters of the word ASSASSINATION are arranged at random. Find the probability that four S’s come consecutively in the word

If the letters of the word ASSASSINATION are arranged at random. Find the probability that two I’s and two N’s come together

If the letters of the word ASSASSINATION are arranged at random. Find the probability that all A’s are not coming together

If the letters of the word ASSASSINATION are arranged at random. Find the probability that no two A’s are coming together

In a non-leap year, the probability of having 53 tuesdays or 53 wednesdays is ______.

Three numbers are chosen from 1 to 20. Find the probability that they are not consecutive ______.

While shuffling a pack of 52 playing cards, 2 are accidentally dropped. Find the probability that the missing cards to be of different colours ______.

Seven persons are to be seated in a row. The probability that two particular persons sit next to each other is ______.

Without repetition of the numbers, four-digit numbers are formed with the numbers 0, 2, 3, 5. The probability of such a number divisible by 5 is ______.

6 boys and 6 girls sit in a row at random. The probability that all the girls sit together is ______.

A single letter is selected at random from the word ‘PROBABILITY’. The probability that it is a vowel is ______.

If the probabilities for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A or B fails is ______.

The probability that a person visiting a zoo will see the giraffee is 0.72, the probability that he will see the bears is 0.84 and the probability that he will see both is 0.52.

The probability that a student will pass his examination is 0.73, the probability of the student getting a compartment is 0.13, and the probability that the student will either pass or get compartment is 0.96.

The probabilities that a typist will make 0, 1, 2, 3, 4, 5 or more mistakes in typing a report are, respectively, 0.12, 0.25, 0.36, 0.14, 0.08, 0.11. 

If A and B are two candidates seeking admission in an engineering College. The probability that A is selected is .5 and the probability that both A and B are selected is at most .3. Is it possible that the probability of B getting selected is 0.7?