Probability quiz

The probability of a sure event is:

The number of outcomes when a coin is tossed three times is:

If two dice are thrown, the probability that the sum is more than 10 is:

The probability of a doublet when two dice are thrown is:

If A and B are mutually exclusive with P

The probability that a non-leap year has 53 Sundays is:

The event 'not A and not B' is the same as:

The probability that a card drawn from 52 cards is not an ace is:

If P(E) = 0.35, P(F) = 0.45 and P(E or F) = 0.6, P(E and F) is:

The number of outcomes when a die is thrown and a coin is tossed together is:

Write the sample space of tossing three coins. (2 marks)

A letter is chosen from the word ASSASSINATION. Find the probability that it is a vowel. (2 marks)

Define the complement of an event with an example. (2 marks)

If A and B are mutually exclusive with P

Find the probability that a leap year has 53 Sundays. (2 marks)

Two dice are thrown. Find the probability of a doublet. (2 marks)

A card is drawn from 52 cards. Find the probability that it is a face card. (2 marks)

Explain why P

What is meant by equally likely outcomes? (2 marks)

A bag has 4 white and 6 black balls. One ball is drawn. Find the probability that it is not white. (2 marks)

Four cards are drawn from a pack of 52. Find the probability that all four are aces. (3 marks)

In a lottery, a person chooses 6 different numbers from 1 to 20. Find the probability of winning if all 6 chosen numbers must match. (3 marks)

A committee of 4 is chosen from 6 boys and 4 girls. Find the probability that it has exactly 2 girls. (3 marks)

If P

Find the probability that a number chosen from 1 to 50 is a multiple of 4 or of 6. (3 marks)

Read the passage and answer the questions. In a class of 40 students, 25 play cricket, 20 play football and 10 play both. A student is chosen at random. (i) Find the probability that the student plays cricket or football. (ii) Find the probability that the student plays neither. (iii) Find the probability that the student plays only football. (5 marks)

Read the passage and answer the questions. A bag has 5 red, 3 blue and 2 green balls. One ball is drawn at random. (i) Find P(red). (ii) Find P(not blue). (iii) Find P(red or green). (5 marks)

Read the passage and answer the questions. In an examination, the probability of passing English is 0.75, of passing Hindi is 0.6 and of passing both is 0.5. (i) Find the probability of passing at least one subject. (ii) Find the probability of passing neither. (iii) Find the probability of passing English only. (5 marks)

Read the passage and answer the questions. A quality inspector picks 2 bulbs at random from a box of 10 bulbs, 3 of which are defective. (i) Find the number of possible selections. (ii) Find the probability that both are defective. (iii) Find the probability that neither is defective. (5 marks)

Read the passage and answer the questions. A coin is tossed and then a die is thrown. (i) Write the sample space. (ii) Find the probability of a head and an even number. (iii) Find the probability of a tail or a 6. (5 marks)

Explain the terms random experiment, sample space, event, sure event, impossible event and complementary event with examples. (6 marks)

Explain the axiomatic approach to probability. Show that for equally likely outcomes it gives P(E) = n(E)/n(S). (6 marks)

From a pack of 52 cards, 4 cards are drawn. Find the probability that (i) all are red (ii) all are face cards. (6 marks)

A committee of 4 is chosen from 6 boys and 4 girls. Find the probability that it has (i) no girl (ii) at least one girl. (6 marks)

In a survey of 60 families, 30 own a car, 25 own a two-wheeler and 10 own both. Find the probability that a family chosen at random owns (i) at least one vehicle (ii) neither (iii) exactly one. (6 marks)