# Calculating Probability of an Event

## Trending Questions

**Q.**

A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is :

(i) a black king

(ii) either a black card or a king

(iii) black and a king

(iv) a jack, queen or a king

(v) neither a heart nor a king

(vi) spade or an ace

(vii) neither a red card nor a queen

(ix) other than an ace

(x) a ten

(xi) a spade

(xii) a black card

(xiii) the seven of clubs

(xiv) jack

(xv) the ace of spades

(xvi) a queen

(xvii) a heart

(xviii) a red card

**Q.**

One card is drawn at random from a well-shuffleed deck of 52 cards. Find the probability that the card drawn is (i) a 4 (ii) a queen (iii) a black card.

**Q.**

In a deck of 52 cards, there are 4 kings, 4 queens, 4 jacks . These are known as face cards. If one card from the deck is withdrawn, what is the probability that it is not a face card?

**Q.**

A letter is chosen from the word 'MATHEMATICS'. What is the probability that the chosen letter is a vowel?

410

411

311

310

**Q.**

If in a lottery there are $5$ prizes and $20$ blanks, then the probability of getting a prize is

$\frac{1}{5}$

$\frac{2}{5}$

$\frac{4}{5}$

None of these

**Q.**

Find the probability of getting a number less than 5 when a die is thrown.

12

23

13

14

**Q.**

If a coin is tossed 3 times, what is the probability of getting no head?

18

78

14

38

**Q.**

From a pack of 52 cards the probability of getting a card of heart when a card is picked at random is___.

- 14
- 34
- 12
- 1

**Q.**Two coins are tossed together. Find the probability of getting:

(i) exactly one tail

(ii) at least one head

(iii) no head

(iv) at most one head

**Q.**Two dice are thrown at the same time. Find the probability that the sum of the two numbers appearing on the top of the dice is:

(i) 0

(ii) 12

(iii) less than 12

(iv) less than or equal to 12

**Q.**

A dice is rolled twice. Find the probability that $5$ will not come up either time.

**Q.**

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

**Q.**

A bag contains 3 red balls, 5 black balls and 4 white balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is :

(i) white ? (ii) red ? (iii) black ? (iv) not red ?

**Q.**

A bag contains 4 red, 5 black and 6 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is:

(i) white (ii) red (iii) not black (iv) red or white

**Q.**

If a coin is tossed 2 times, what is the probability of getting at least one tail?

14

34

1

12

**Q.**

It is known that a box of 100 electric bulbs contains 8 defeective bulbs. One bulb is taken out at random from the box. What is the probability that the bulb drawn is (i) defective ? (ii) non-defective?

**Q.**

A bag contains 5 white and 7 red balls. One ball is drawn at random. What is the probability that ball drawn is white?

**Q.**

The probability of getting a composite number in a throw of dice is

1/2

1/6

1

1/3

**Q.**

$5$ boys and $5$ girls are sitting in a row randomly. The probability that boys and girls sit alternatively is

$\frac{5}{126}$

$\frac{1}{42}$

$\frac{4}{126}$

$\frac{1}{126}$

**Q.**

From past experience, a professor knows that the test score of a student taking her final examination is a random variable with mean $75$.

a. Give an upper bound for the probability that a students test score will exceed $85$.

Suppose, in addition, that the professor knows that the variance of a students test score is equal to equal to $25$.

b. What can be said about the probability that a student will score between $65$ and $85$.

c. How many students would have to take the examination to ensure with probability at least $0.9$ that the class average would be within $5$ of $75$?

Do not use the central limit theorem.

**Q.**

A coin is tossed twice. Find the probability of getting:

(i) exactly one head

(ii) exactly one tail

(iii) two tails

(iv) two heads

**Q.**A bag contains 3 white, 5 black and 2 red balls, all of the same shape and size. A ball is drawn from the bag without looking into it, find the probability that the ball drawn is:

(i) a black ball

(ii) a red ball

(iii) a white ball

(iv) not a red ball

(v) not a black ball

**Q.**

Question 7

In a school, only 3 out of 5 students can participate in a competition. What is the probability of the students who do not make it to the competition?

(a) 0.65

(b) 0.4

(c) 0.45

(d) 0.6

**Q.**

In a lottery, there are 10 prizes and 20 blanks. A ticket is chosen at random. What is the probability of getting a prize?

**Q.**

Can the experimental probability of an event be a negative number? If not, why?

**Q.**

An urn contains 10 red and 8 white balls. One ball is drawn at random. Find the probability that the ball drawin is white.

**Q.**

Question 77

The probability of getting number 6 in a throw of a die is 16. Similarly, the probability of getting a number 5 is 15.

**Q.**

You have an eight-faced die. In this die, one of the faces contains 1, two faces contain 2, three faces contain 3 and other faces contain a 4 and a 5 respectively. What is the probability of getting a 3 when the die is rolled? (All outcomes are equally likely).

18

14

38

12

**Q.**From 10 identical cards, numbered 1, 2, 3, ......, 10, one card is drawn at random. Find the probability that the number on the card drawn is a multiple of:

(i) 2

(ii) 3

(iii) 2 and 3

(iv) 2 or 3

**Q.**

For an multiple choice question the number of options given are 4. Find the probability of doing the question wrong.

1

0

3/4

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