A die is thrown. Describe the following events: (vi) F: a number not less than 3. Also find $A \cup B$, $A \cap B$, $B \cup C$, $E \cap F$, $D \cap E$, $A – C$, $D – E$, $E \cap F'$, $F'$

What is the probability of getting at least one head when 3 coins are tossed together?

A card is selected from a pack of 52 cards. (a) How many points are there in the sample space?

A die is thrown. Describe the following events: (ii) B: a number greater than 7

Three coins are tossed once. Find the probability of getting (vi) 3 tails

Fill in the blanks in following table: (iii) $P(A) = 0.5, P(B) = 0.35, P(A \cap B) = ..., P(A \cup B) = 0.7$

Three coins are tossed. Describe (ii) Three events which are mutually exclusive and exhaustive.

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?

Two dice are thrown. The events A, B and C are as follows:
A: getting an even number on the first die.
B: getting an odd number on the first die.
C: getting the sum of the numbers on the dice ≤ 5.

state true or false: (give reason for your answer) (iii) $A = B'$

Fill in the blanks in following table: (ii) $P(A) = 0.35, P(B) = ..., P(A \cap B) = 0.25, P(A \cup B) = 0.6$

In a class of 60 students, 30 opted for NCC, 32 opted for NSS and 24 opted for both NCC and NSS. If one of these students is selected at random, find the probability that (i) The student opted for NCC or NSS.

Three coins are tossed. Describe (i) Two events which are mutually exclusive.

A letter is chosen at random from the word ‘ASSASSINATION’. Find the probability that letter is (i) a vowel

Three coins are tossed. Describe (iv) Two events which are mutually exclusive but not exhaustive.

Two dice are thrown. The events A, B and C are as follows:
A: getting an even number on the first die.
B: getting an odd number on the first die.
C: getting the sum of the numbers on the dice $ \le 5$.
Describe the events (v) A but not C

Fill in the blanks in following table: (i) $P(A) = \frac{1}{3}, P(B) = \frac{1}{5}, P(A \cap B) = \frac{1}{15}, P(A \cup B) = ...$

Three coins are tossed. Describe (iii) Two events, which are not mutually exclusive.

A die is rolled. Let E be the event “die shows 4” and F be the event “die shows even number”. Are E and F mutually exclusive?

A card is selected from a pack of 52 cards. (b) Calculate the probability that the card is an ace of spades.

A letter is chosen at random from the word ‘ASSASSINATION’. Find the probability that letter is (ii) a consonant