A die is thrown. Describe the following events:

**(i)** A: a number less than 7

**(ii)** B: a number greater than 7

**(iii)** C: a multiple of 3

**(iv)** D: a number less than 4

**(v)** E: an even number greater than 4

**(vi)** F: a number not less than 3

Also find A ∪ B, A ∩ B, B ∪ C, E ∩ F, D ∩ E, A – C, D – E, E ∩ FI, FI

Asked by Abhisek | 1 year ago | 147

When a die is thrown, the sample space is given by

S = {1, 2, 3, 4, 5, 6}

Accordingly:

**(i)** A= {1, 2, 3, 4, 5, 6, }

**(ii)** B = Ø

**(iii)** C = {3, 6}

**(iv)** D = {1, 2, 3}

**(v)** E = {6}

**(vi) **F = {3, 4, 5, 6}

A U B = {1, 2, 3, 4, 5, 6}, A ∩ B = ϕ

B U C = {3, 6}, E ∩ F = {6}

D ∩ E = ϕ , A-C = {1, 2, 4, 5}

D- E = {1, 2, 3}, F' ={1,2}, E ∩ F’ = ϕ

Answered by Pragya Singh | 1 year agoOne number is chosen from numbers 1 to 100. Find the probability that it is divisible by 4 or 6?

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?

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

A die is thrown twice. What is the probability that at least one of the two throws come up with the number 3?

A natural number is chosen at random from amongst first 500. What is the probability that the number so chosen is divisible by 3 or 5?