Complementary Event

Q.

A bag contains $6$red, $5$white and $4$black balls. Two balls are drawn. The probability that none of them is red, is

1. $\frac{12}{35}$

2. $\frac{6}{35}$

3. $\frac{4}{35}$

4. None of these

Q. Define probability?

Q.

The probability of an event E lies between

1. -1 and 0

2. -1 and 1

3. 0 and 1

4. -2 and 1

Q.

Which of the following experiments have equally likely outcomes?

Explain.

(i) A driver attempts to start a car. The car starts or does not start.

(ii) A player attempts to shoot a basketball. She/he shoots or misses the shot.

(iii) A trial is made to Solution: a true-false question. The solution is right or wrong.

(iv) A baby is born. It is a boy or a girl.

1. options (iii) and (iv) are correct.

2. options (i) and (ii) are correct.

Q. Which of the following CANNOT be the value of a probability?

1. 0
2. 1.2
3. -1
4. 1
5. 2
6. 0.5
7. 1.5
8. -0.8

Q.

The probability of picking a spade is the same as that of picking a diamond from a full deck which additionally includes 2 jokers.

1. True

2. False

Q. A factory produces cricket balls. The probability that the manufactured ball is defective is 0.05. Then, the probability of the ball being perfect will be:

1. 0.95
2. 1.05
3. 1
4. 0

Q. Which of the following CANNOT be the value of a probability?

1. 0
2. 1.2
3. -1
4. 1
5. 2
6. 0.5
7. 1.5
8. -0.8

Q. A bag contains 8 red and 5 white balls. Three balls are drawn at random. The probability that all the three balls are white is $\frac{5k}{286}$.Then find the value of $k$

Q.

The probability of an event always lies between ______ .

1. -1 and 1

2. 0 and 1/2

3. 0 and 1

4. 0 and 2

Q. If A, B and C are three independent events, the probability of their joint occurrence is equal to _______.

1. P(A) P(B) P(C)
2. 1/[P(A)P(B)P(C)]
3. P(A) + P(B) + P(C)
4. P(AB) + P(AC) + P(BC)

Q. Probability of four sons to a couple is

1. 1/8
2. 1/32
3. 1/4
4. 1/16

Q.

25000 =

1. 2.5 x 10³

2. 2.5 x 10^-4

3. 2.5 x 10⁴

4. 2.5 x 10⁵

Q.
Q. A number when added to 5 times given 25. find the number.
Q. The king, queen and jack of club are removed from pack of 52 cards find the probability of

• a heart
• a king
• a club
• a 10 of hearts.

Q. 12. A bag contains 6 white balls and 5 red balls. A ball is drawn at random from the bag, without looking into it. What is the probability of getting a white ball ? Is it more or less than the probability of getting a red ball?

Q.

Probability of an event E + Probability of an event “not E” is equal to = ___.