# Probability of an Event "A" to Happen

## Trending Questions

**Q.**

If a coin is tossed 3 times, what is the probability of getting atleast one tail? |

A. 18

B.58

C.14

D.78

**Q.**From a pack of 52 playing card, Jacks, Queens and Kings of red colour are removed. From the remaining, a card is drawn at random. Find the probability that drawn card is:

(i) a black King, (ii) a card of red colour, (iii) a card of black colour.

**Q.**A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is

(i) A card of spade or an ace

(ii) A black king

(iii) Neither a jack nor a king

(iv) Either a king or a queen

**Q.**

On a dart board of radius 50 cm, what is the probability that you hit the bull's eye of radius 5 cm? |

1100

150

1

110

**Q.**

There are 50 mangoes in a basket, 20 of which are unripe. Another basket contains 40 mangoes, with 15 unripe. If we take one mango from each basket, what is the probability of both being ripe?

0

18

38

12

**Q.**

A coin is tossed three times in succession. If $E$ is the event that there are at least two heads and $F$ is the event in which first throw is a head, then $P\left(E\right|F)=$

$\frac{3}{4}$

$\frac{3}{8}$

$\frac{1}{2}$

$\frac{1}{8}$

**Q.**

If P(E) and P(E’) are the probabilities of two complementary events, then which of the following is always true?

P(E)+P(E′)=0

P(E)+P(E′)=12

P(E)=P(E′)

P(E)+P(E′)=1

**Q.**From a pack of 52 playing cards jack, queen and king of clubs are removed and then well shuffled. From the remaining cards a card is drawn. Find the probability of getting:

i) a face card

ii) a club

iii) a black card

iv) a non face card

v) a king

vi) a red face card

[6 MARKS]

**Q.**

Gopi buys a fish from a shop for his aquarium. The shopkeeper takes out one fish at random from a tank containing 5 male fish and 8 female fish (see figure). What is the probability that the fish taken out is a male fish?

513

613

512

815

**Q.**

The chance of getting a doublet with $2$ dice is?

$\frac{2}{3}$

$\frac{1}{6}$

$\frac{5}{6}$

$\frac{5}{36}$

**Q.**

One is asked to select a two -digit number. What is the probability of getting the first digit greater than the second digit ?

12

15

16

13

**Q.**

In a box containing 18 balls of 3 different colours red, green and blue, if 10 are red and 4 are green, then what is the probability of getting a blue ball in the first attempt?

13

14

12

29

**Q.**

A student was tested on 100 true or false questions. The number of questions whose answers were true was 59. Find the probability that a question’s answer was false. |

0.41

0.59

0.61

1

**Q.**

A box contains 12 balls out of which x are blue. If one ball is drawn at random from the box, what is the probability that it will be a blue ball ? If 6 more blue balls are put in the box , the probability of drawing a blue ball is now double of what it was before . Find x

(i) x12 (ii) 3

(i) x6 (ii) 4

(i) x6 (ii) 5

(i) x4 (ii) 2

**Q.**

**Question 5**

If P(E) = 0.05, what is the probability of ‘not E’?

**Q.**

You are given a dart board of radius R cm. What is the probability that you hit the bull's eye of radius r cm?

rR

Insufficient data

r2R2

Rr

**Q.**

A fair die is tossed repeatedly until a six is obtained. Let $X$ denote the number of tosses required. The probability that $X\ge 3$ equals

$\frac{125}{216}$

$\frac{25}{36}$

$\frac{5}{36}$

$\frac{25}{216}$

**Q.**Question 30(i)

All the jacks, queens and kings are removed from a deck of 52 playing cards. The remaining cards are well shuffled and then one card is drawn at random. Giving ace a value 1 similar value for other cards, find the probability that the card has a value 7.

**Q.**

Three fair coins are tossed simultaneously. Find the probability of getting more heads than the number of tails.

$\frac{3}{8}$

$\frac{7}{8}$

$\frac{5}{8}$

$\frac{1}{2}$

**Q.**

The king, queen and jack are removed from a deck of 52 playing cards and then shuffled. One card is selected from the remaining cards. Find the probability of getting an ace.

**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.**

An equilateral triangle is drawn with its vertices if we put a dot in it without looking into the picture, find the probability of the dot being outside the triangle?

4π−3√34

4π−3√34π

π−3√34π

4π−34π

**Q.**An equilateral triangle is drawn inside a circle as shown. If we put a dot in it without looking into the picture, find the probability of the dot being outside the triangle?

- 4π−3√34
- 4π−3√34π
- π−3√34π
- 4π−34π

**Q.**

Two dice are thrown simultaneously. The probability of getting a doublet is

0

13

16

56

**Q.**

5 defective glasses are accidentally mixed with 20 good ones. The good ones and the defective ones look the same from the outside. If a glass is picked at random, what is the probability that the chosen glass is not defective?

38

45

98

15

**Q.**

**Question 22**

The probability of getting a bad egg in a lot of 400 is 0.035. The number of bad eggs in the lot is

(a) 7

(b) 14

(c) 21

(d) 28

**Q.**

**Question 28(i)**

The king, queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled. Now, one card is drawn at random from the remaining cards. Determine the probability that the card is a heart

**Q.**

Two semicircles are drawn in a square as shown. If we put a dot in the figure, without looking into it, what is the probability of the dot being in the shaded region?

**Q.**

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting

(i) a king of red colour

(ii) a face card

(iii) a red face card

(iv) the jack of hearts

(v) a spade

(vi) the queen of diamonds

**Q.**

The daily wages of 50 workers in a factory are as follows:

Find the probability that the daily wage of a worker lies in the interval:

i) 110 - 120 ii) 100 - 200 iii) 80 - 120