# Complementary Event

## Trending Questions

**Q.**If P(E) = 0.05, then the probability of ‘not E’ is

- 0.5
- 1
- 0.95
- 0.005

**Q.**Question 18

If a card is selected from a deck of 52 cards, then the probability of its being a red face card is

(a) 326

(b) 313

(c) 213

(d) 12

**Q.**

Three coins are tossed at once. What is the probability of getting at least two tails?

**Q.**

A box contains 3 blue, 2 white and 4 red marbles. If a marble is drawn at random from the box, what is the probability that it will not be a white marble?

(a) 13 (b) 49 (c) 79 (d) 29

**Q.**The probability of a day being rainy is 0.75, then the probability of it not being a rainy day is

- 0.79
- 0.25
- 0.50
- 0.36

**Q.**

IF the probability of winning a game is 0.4 then te probability of losing it, is

(a) 0.96 (b) 10.4 (c) 0.6 (d) none of these

**Q.**

What is the probability of getting a black ace or a red jack when drawing a card from a deck of 52?

**Q.**

The sum of probabilities of two mutually exclusive events will always be 1.

True

False

**Q.**

Three cards are drawn at random from a pack of $52$ cards.

What is the chance of drawing three aces?

$\frac{3}{5525}$

$\frac{2}{5525}$

$\frac{1}{5525}$

None of these.

**Q.**

Complementary events are mutually exclusive, and vice versa.

True

False

**Q.**

A dice is thrown once. Find the probability of getting a factor of 6.

1/3

1

2/3

2/5

**Q.**A card is drawn from a deck of 52 cards. What is the probability of not getting an ace?

- 112
- 1213
- 213
- 113

**Q.**

The probability of a person winning a game is 0.8, the probability of him losing a game is

**Q.**Find the probability of having 53 Saturdays in:

i) a non - leap year

ii) a leap year

[4 MARKS]

**Q.**

Assume that boy and girl babies are equally likely. If a couple have three children, find the probability that at least one is a boy.

0.875

0.785

0.578

0.75

**Q.**Three different coins are tossed together. Find the probability of getting (i) exactly two heads, (ii) at least two heads (iii) at least two tails.

**Q.**

3.64, –0.14

3.62, –0.11

3.63, –0.17

3.61, –0.10

3.65, –0.15

**Q.**

Find the probability that a number selected at random from the numbers 1 to 25 is not a prime number.

**Q.**

Fill in the blanks:

(i) The probability of an impossible event is

(ii) The probability of a sure even is

(iii) For any event E, P(E) + P (not E)= ....

(iv) The probability of a possible but not a sure event lies between... and ....

(v) The sum of probabilities of all the outcomes fo an experiment is ....

**Q.**

A jar contains $5$ red marbles, $3$ green marbles, $2$ yellow marbles and $1$ blue marble. How do you find the probability of green or yellow marble?

**Q.**Question 15

If the probability of an event is P, then the probability of its completmentry event will be

(a) P - 1

(b) P

(c) 1 - P

(d) 1−1P

**Q.**

The probability that it will rain tommorow is 0.85. What is the probability that it will not rain tommorow ?

**Q.**

A jar contains $24$ marbles, some are green and others are blue. If a marble is drawn at random from the jar, the probability that it is green is $\frac{2}{3}$. Find the number of blue balls in the jar.

**Q.**What is the probability of an event E not happening if P(E) = 0.2?

- 0.2
- 0.8
- 0.3
- 0.6

**Q.**If P(E) denotes the probability of an event E then [CBSE 2013C]

(a) P(E) < 0

(b) P(E) > 1

(c) 0 ≤ P(E) ≤ 1

(d) −1 ≤ P(E) ≤ 1

**Q.**

The probability of winning a game is 25, the probability of losing is

( In decimal form)

**Q.**

IF the probability fo occurrence of an event is p then the probability of non-happening of this event is

(a) (p-1) (b) (1-p) (c) p (d) (1−1p)

**Q.**A jar contains 30 marbles, some are green and others are red. If a marble is drawn at random from the jar, the probability that it is green is 35. Find the number of green balls in the jar. [2]

**Q.**

The cards bearing letters of the word MATHEMATICS are placed in a bag. A card is taken out from the bag without looking into the bag (at random).

What is the probability of getting (i) M ?

**Q.**Ram and Shyam are playing a match. If the probability of Ram winning the match is 0.6, then find the probability of Shyam winning the match.

- 0.2
- 1
- 0.4
- 0.8