Impossible Event

Q.

Whats the probability of an impossible event?

Q. A bag contains 18 balls out of which x balls are red.

(i) If the ball is drawn at random from the bag, what is the probability that it is not red?

(ii) If two more red balls are put in the bag, the probability of drawing a red ball will be $\frac{9}{8}$ times the probability of drawing a red ball in the first case. Find the value of x.

Q. All the black face cards are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn at random. Find the probability of getting

(i) face card
(ii) red card
(iii) black card
(iv) king

Q. An event is very unlikely to happen. Its probability is closest to:

1. 0.0001
2. 0.001
3. 0.01
4. 0.1

Q. A month is selected at random in a year. The probability that it is March or October, is

(a) $\frac{1}{12}$

(b) $\frac{1}{6}$

(c) $\frac{3}{4}$

(d) None of these

Q. A bag contains 4 white balls, 5 red balls, 2 black balls and 4 green balls. A ball is drawn at random from the bag. Find the probability that it is

(i) black,
(ii) not green,
(iii) red or white,
(iv) neither red nor green.

Q. A bag contains 3 red, 3 white and 3 green balls. One ball is taken out of the bag at random. What is the probability that the ball drawn is –
(1) red.
(2) not red
(3) either red or white.

Q.

The probability of getting a sum of 13 when two dice are thrown simultaneously is___

1. $\frac{1}{36}$

2. $\frac{1}{13}$

3. $\frac{1}{6}$

4. 0

Q.

An event whose probability of occurrence is 0, is called __

Q.

A box contains 4 white balls and 6 black balls and another one, 3 white and 5 black. We can choose one box and take a ball. If we want a black ball, which box is the better choice?

Q. There are 30 cards, of same size, in a bag on which numbers 1 to 30 are written. One card is taken out of the bag at random. Find the probability that the number on the selected card is not divisible by 3.

Q.

The probability of happening of an event is p. The maximum and minimum values of pare

1. max (p) = 1, min (p) = 0

2. max (p) = 2, min (p) = 3

3. max(p) = 4, min(p) = 1

4. max (p) = 3, min (p) = 2

Q.

At each stage the black dot moves 3 corners clockwise and the white dot moves 3 corners anticlockwise. After how many stages will both dots be together in the same corner?

1. 4 stages

2. 5 stages

3. 2 stages

4. 7 stages

Q. Aarushi sold 100 lottery tickets in which 5 tickets carry prizes. If Priya purchased a ticket, what is the probability of Priya winning a prize?

(a) $\frac{19}{20}$

(b) $\frac{1}{25}$

(c) $\frac{1}{20}$

(d) $\frac{17}{20}$

Q. Question 20
When a die is thrown, the probability of getting an odd number less than 3 is
(a) $\frac{1}{6}$
(b) $\frac{1}{3}$
(c) $\frac{1}{2}$
(d) 0

Q. One card is randomly drawn from a deck of 52 playing cards. Find the probability that
(i) the drawn card is red.
(ii) the drawn card is an ace.
(iii) the drawn card is red and a king.
(iv) the drawn card is red or a king.
[4 MARKS]

Q.

In a single throw of a die, the probability of getting a number greater than 6 is___

1. 1

2. 1/6

3. 1/3

4. 0

Q. A die is thrown once. Find the probability of getting a number less than 3.

Q.

A coin and six-faced die, both unbiased, are thrown simultaneously. The probability of getting ahead on the coin and an odd number on the die is

1. $1/2$

2. $3/4$

3. $1/4$

4. $2/3$

Q. A die is thrown once. What is the probability of getting a prime number?

Q. Tickets numbers from 1 to 20 are mixed up and a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 7?

Q.

What is the probability of an impossible event?

(a) $\frac{1}{2}$ (b) 0 (c) 1 (d) more than 1

Q.

From a pack of $52$ playing cards, jack, queens, kings, and aces of red color are removed. From the remaining, a card is drawn at random. Find the probability that the card drawn is a black queen, a red card, a black jack, a picture card (jacks, queens, and kings are picture cards).

Q.

A dice is thrown twice. Find the probability of getting a bigger value on the first throw.

1. 15/36

2. 15/31

3. 21/36

4. 18/36

Q.

The probability to see the moon in the new moon day is ____.

1. 0

2. 1

3. 0.5

4. 0.25

Q.

Any subset of an event is called sample space

1. False

2. True

Q. A die is thrown once. What is the probability of getting an odd number?

Q. Each card bears one letter from the word ‘mathematics’ The cards are placed on a table upside down. Find the probability that a card drawn bears the letter ‘m’.

Q. Question 1 (ii)
Complete the following statements:
The probability of an event that cannot happen is ___. Such an event is called ___.

Q. Joseph kept 26 cards in a cap, bearing one English alphabet on each card. One card is drawn at random. What is the probability that the card drawn is a vowel card ?