Complementary Events

Q. Two different dice are tossed together. Find the probability :
(i) of getting a doublet.
(ii) of getting a sum 10, of the numbers on the two dive.

Q. If the probability of an event is 0.6, then the probability of the event not happening is 0.4.

1. False
2. True

Q.

If three dice are thrown simultaneously, then the probability of getting a score of $7$ is

1. $\frac{5}{216}$

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

3. $\frac{5}{72}$

4. None of these

Q.

If two cards are drawn simultaneously from the same set, then probability that at least one of them will be the ace of heart is

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

2. $\frac{1}{26}$

3. $\frac{1}{52}$

4. $\frac{3}{13}$

Q. If a batsman hits boundary 4 times out of 20 balls he plays, then the probability that he did not hit a boundary is ____.

1. 0.4
2. 0.2
3. 0.8
4. 0.6

Q. Question 38(i)
In a game, the entry fee is of Rs 5. The game consists of a tossing a coin 3 times. If one or two heads show, Sweta gets her entry fee back. If she throws 3 heads, she receives double the entry fees. Otherwise, she will lose. For tossing a coin three times, find the probability that she loses the entry fee.

Q. Two dice are thrown simultaneously, what is the probability of not getting the sum of the digits on the dice as '2'?

1. $\frac{11}{36}$
2. $\frac{35}{36}$
3. $\frac{1}{6}$
4. $\frac{2}{3}$

Q. If a batsman hits boundary 4 times out of 20 balls he plays, then the probability that he did not hit a boundary is ____.

1. 0.20
2. 0.80
3. 0.60
4. 0.40

Q. Probability of an event E + Probability of an event 'not E' is 0.

1. False
2. True

Q. If the probability of an event is 0.6, then the probability of the event not happening is 0.4.

1. False
2. True

Q. Two dice are thrown simultaneously. The probability of not getting the sum of the digits on the dice as '2' is .

1. $\frac{11}{36}$
2. $\frac{35}{36}$
3. $\frac{2}{3}$

Q.

If P(A) and P(not A) are complementary events and P(A) = 0.15, then P(not A) = ?

1. 0.85

2. 0.35

3. Cannot be determined

4. 0.3

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. If an event B has occurred and it is known that P(B) = 1, the conditional probability P (A/B) is equal to ______.

1. P(A)
2. P(B)
3. One
4. Zero

Q. If P(A) and P(not A) are complementary events and P(A) = 0.15, then P(not A) = .

1. 0.35
2. 0.85
3. 0.15

Q. In a cricket match, a batsman hits a boundary 6 times out of 30 balls he plays. What is the probability that in a given delivery, the ball does not hit the boundary?
(a)

(b)

(c)

(d)

Q. If a batsman hits boundary 4 times out of 20 balls he plays, then the probability that he did not hit a boundary is ____.

1. 0.20
2. 0.80
3. 0.60
4. 0.40