Experimental Probability

Q.

The total number of face cards in a deck of cards is

1. 12

2. 14

3. 16

4. 18

Q.

Two cards are drawn at random from a pack of $52$ cards. The probability that both are the cards of the spade is

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

2. $\frac{1}{4}$

3. $\frac{1}{17}$

4. None of these

Q.

One card is drawn at random from a well-shuffeld deck of 52 cards. Find the probability that the card drawn is (i) a king (ii) a spade (iii) a red queen (iv) a black 8

Q.

A pack of cards has one card missing. Two cards are drawn randomly and are found to be spades. The probability that the missing card is not a spade is:

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

2. $\frac{52}{867}$

3. $\frac{39}{50}$

4. $\frac{22}{425}$

Q.

Two coins are tossed together . What is the probability of getting :
1) at least one head ?
2) both heads or both tails ?

Q.

Assertion : Two dice are thrown simultaneously. There are 11 possible outcomes (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12) and each of them has a probability $\frac{1}{11}$.
Reason : Probability of an event (E) is defined as P(E) $=\frac{\text{Number of outcomes favourable to E}}{\text{Total number of possible outcomes}}$.

1. Both assertion and reason are true and reason is the correct explanation of assertion.

2. Both assertion and reason are true but reason is not the correct explanation of assertion.

3. Assertion is true but reason is false.

4. Assertion is false but reason is true.

Q.

A coin is tossed $1000$times with the following frequencies head $455$, tail $545$. Compute the probability.

Q.

$1500$ families with $2$ children were selected randomly$,$ and the following data were recorded$:$ Compute the probability of a family$,$ chosen at random$,$ having

$2$ girls$.$

Number of girls in a family	$2$	$1$	$0$
Number of families	$475$	$814$	$211$

Q.

If you have a spinning wheel with $3$ green sectors, $1$ blue sector, and $1$ red sector, what is the probability of getting a green sector? What is the probability of getting a non-blue sector?

Q.

In a single throw of two coins, find the progagilit of getting (i) both tails, (ii) at least 1 tail, (iii) at the most 1 tail.

Q. Two dice are thrown together. What is the probability of a combination in which the sum of the numbers on the two faces is divisible by 4 or 6?

1. $\frac{2}{9}$
2. $\frac{7}{18}$
3. $\frac{1}{2}$
4. $\frac{5}{18}$

Q.

A bag contains 4 white and 5 blue balls. They are mixed thoroughly and one ball is drawn at random. What is the probability of getting (i) a white ball ? (ii) a blue ball ?

Q.

In a single throw of a coin, what is the probability of getting a tail ?

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 is false.

1. .41

2. .59

3. .49

4. .51

Q.

(i) A coin is tossed. What are all possible outcomes ?

(ii) Two coins are tossed simultaneously. What are all possible outcomes ?

(iii) A die is thrown. What are all ossible outcomes ?

(iv) From a well-shuffeld deck of 52 cards, one card is drawn at random. What is the number of all possible outcomes ?

Q. Rohan and Shalu are playing with 5 cards as shown in the figure. What is the probability of Rohan picking a card without seeing, that has the number 2 on it?

1. $\frac{2}{5}$
2. $\frac{1}{5}$
3. $\frac{3}{5}$
4. $\frac{4}{5}$

Q. What is the probability of not getting a number more than 6 on rolling a dice?

1. $\frac{1}{7}$
2. $\frac{1}{4}$
3. $\frac{1}{2}$
4. 1

Q.

Tick the correct answer in each of the following:

In a spinning wheel, there are 3 white and 5 green sectors. It is spinned. What is the probability of getting a green sector ?

$\left(a\right)\frac{5}{3}\left(b\right)\frac{5}{8}\left(c\right)\frac{1}{5}\left(d\right)\frac{3}{8}$

Q.

In a surevey of 200 ladies, it was found that 82 like coffee while 118 dislike it. From these ladies, one is chosen at random. What is the probability that the chosen lady dislikes cofee ?

Q.

$\text{Tick the correct answer in each of the following :}\text{From a well-shuffled deck of 52 cards, one card is drawn at random. What is the probability that the drawn card is a black 6 ?}\left(a\right)\frac{3}{26}\left(b\right)\frac{1}{26}\left(c\right)\frac{1}{13}\left(d\right)\frac{1}{52}$

Q. In an election between two candidates, the candidate who gets $30\%$ of the votes polled is defeated by $16000$ votes. What is the total number of votes polled?

1. $40000$
2. $45000$
3. $50000$
4. None of these

Q. A coin is tossed two times . What are the possible outcomes

Q.

$\text{Tick the correct answer in each of the following :}\text{8 cards are numberd as 1, 2, 3, 4, 5, 6, 7, 8 respectively. They are kept in a box and mixed throughly. One card is chosen at random. What is the probability of getting a number less than 4 ?}\left(a\right)\frac{1}{2}\left(b\right)\frac{3}{4}\left(c\right)\frac{3}{8}\left(d\right)\frac{3}{5}$

Q.

$\text{Tick the correct answer in each of the following :}\text{From a well-shuffled deck of 52 cards, one card is drawn at random. What is the probability that the drawn card is a queen ?}\left(a\right)\frac{1}{4}\left(b\right)\frac{1}{52}\left(c\right)\frac{1}{13}\left(d\right)\frac{1}{26}$

Q.

$\text{Tick the correct answer in each of the following}\text{A die is thrown. What is the probability of getting 6 ?}\left(a\right)1\left(b\right)\frac{1}{6}\left(c\right)\frac{6}{1}\left(d\right)\text{none of these}$

Q. The population of a village was $9800.$ In a year with the increase in population of males by $8$ $\%$ and that of females by $5$ $\%$ the population of the village become 10458. What was the number of males in the village before increase?

1. $4200$
2. $4410$
3. $6048$
4. $5600$

Q.

If a coin is tossed 100 times and the head obtained is 47 times then what will be the probability to get head if the coin is tossed again?

1. 0.47

2. 0.53

3. -1

4. 0.5

Q.

A die is thrown 325 times. The frequency of the outcomes of the event 1, 2, 3, 4, 5 and 6 are recorded in the following frequency distribution table.

$$\begin{array}{ccccccc}Outcome& 1& 2& 3& 4& 5& 6\\ Frequency& 50& 65& 45& 34& 55& 76\end{array}$$

Find the probability of the occurrence of an (i) even number (ii) odd number.

1. 7⁄12, 6⁄13

2. 3⁄20, 7⁄10

3. 11⁄20, 13⁄10

4. 11⁄25, 13⁄10

Q. (i) A coin is tossed. What are all possible outcomes?
(ii) Two coins are tossed simultaneously. What are all possible outcomes?
(iii) A die is thrown. What are all possible outcomes?
(iv) From a well-shuffled deck of 52 cards, one card is drawn at random. What is the number of all possible outcomes?

Q. Ram put some buttons on the table. There were 4 blue, 7 red, 3 black and 6 white buttons in all. All of a sudden, a cat jumped on the table and knocked out one button on the floor. What is the probability that the button on the floor is blue?

1. $\frac{3}{5}$
2. $\frac{7}{20}$
3. $\frac{1}{5}$
4. $\frac{1}{4}$