Empirical Approach for Probability

Q.

What is the probability of getting a sum of 7 on rolling a pair of dice?

1. $\frac{7}{12}$

2. $\frac{1}{11}$

3. $\frac{2}{3}$

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

Q.

Two cards are drawn one by one at random from a pack of $52$ cards. The probability that both of them are king, is

1. $\frac{2}{13}$

2. $\frac{1}{169}$

3. $\frac{1}{221}$

4. $\frac{30}{221}$

Q.

Two cards are drawn successively with replacement from a well-shuffled deck of $52$ cards, then the mean of the number of aces is

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

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

3. $\frac{2}{13}$

4. None of these

Q.

It is known that a box of 600 electric bulbs contains 12 defective bulbs. One bulb is taken out at random from this box. What is the probability that it is a non-defective bulb?

1. $\frac{588}{600}$

2. $\frac{12}{600}$

3. 0.94

4. 0.98

Q. Find the probability of getting at least 1 Head, if 3 coins are tossed.

1. $\frac{3}{8}$
2. $\frac{7}{8}$
3. $\frac{1}{8}$
4. $\frac{1}{2}$

Q.

A die is thrown once. Find the probability of getting a prime number.

Q.

A bag contains $2$ green, $3$ red and $4$ black balls. A ball is taken out of the bag at random. Find the probability that the selected ball is not black.

Q.

A card is drawn from a pack of cards. What is the probability that the drawn card is neither a heart not a king

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

2. $\frac{9}{13}$

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

4. $\frac{13}{26}$

Q.

Two integers are chosen at random and multiplied. The probability that the product is an even integer is

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

2. $\frac{2}{3}$

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

4. $\frac{4}{5}$

Q.

When you spin the wheel shown, What is the probability of getting A?

1. $0.5$
2. $0.33$
3. $0.42$
4. $0.25$

Q.

If $n$ objects are distributed at random among $n$ persons, the probability that at least one of them will not get anything is

1. $1–\frac{(n-1)!}{n^{n-1}}$

2. $\frac{(n-1)!}{n^n}$

3. $1–\frac{(n-1)!}{n^n}$

4. None of these

Q. If three coins are tossed simultaneously then the total number of outcomes is ______.

1. 6
2. 5
3. 8
4. 7

Q.

In a cricket match, a batsman hits boundary 10 times out of 50 balls. what is the probability that he doesn't hit boundary?

1. 1

2. 0.5

3. 0.75

4. 0.8

Q.

A class contains 60 boys and 40 girls. A student is selected at random and what is the probability of that selected student is a girl?

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

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

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

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

Q.

A box contains cards with numbers marked from 1 to 100. Find the probability of getting a card

(a) with a perfect square (b) Divisible by both 25 and 50

1. a) $\frac{1}{10}$ b) $\frac{1}{50}$

2. a) $\frac{1}{5}$ b) $\frac{1}{25}$

3. a) $\frac{1}{2}$ b) $\frac{1}{5}$

4. a) $\frac{1}{4}$ b) $\frac{1}{100}$

Q.

When a dice is thrown, what is the probability of getting an even number?

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

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

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

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

Q. The probability of selecting a vowel from the word CHOCOLATE is .

1. $\frac{4}{9}$
2. $\frac{2}{9}$
3. $\frac{4}{3}$
4. $\frac{1}{3}$

Q.

If three coins are tossed simultaneously, then find the probability of getting at least two heads.

Q. A test paper contains 51 true/false questions and 49 MCQs. If a question was chosen at random, then probability of it being a true/false question is .

1. 0.41
2. 0.59
3. 0.51
4. 0.49

Q.

In a cricket match, a batsman hits boundary 20 times out of 50 balls. what is the probability that he hits a boundary?

1. 0.5

2. 0.2

3. 0.4

4. 1

Q.

The probability of four sons to a couple is

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

2. $\frac{1}{8}$

3. $\frac{1}{16}$

4. $\frac{1}{32}$

Q. 10 bags of rice flour, each marked 2 kg, actually contained the following weights of flour (in kg):

1.98, 1.95, 2.00, 2.01, 2.02, 2.07, 1.98, 1.97, 2.04, 2.00

Find the probability that any of these bags chosen at random contains less than 2 kg of flour.

1. 0.5
2. 0.4
3. 0.3
4. 0.2

Q.

In a single throw of a die, what is the probability of getting a number more than $4?$

Q. A card is drawn from a deck of 52 cards. Find the probability that the card drawn is neither a black card nor a jack.

1. 
   $\frac{2}{13}$

2. 
   $\frac{4}{13}$

3. 
   $\frac{5}{13}$

4. 
   $\frac{6}{13}$

Q.

How do you solve binomial probability $?$

Q.

A number is chosen at random among the first 100 natural numbers. Find the probability that the number chosen is prime.

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

2. $\frac{27}{100}$

3. $\frac{26}{100}$

4. $\frac{6}{25}$

Q. A dice is rolled. Then chance of getting a number greater than or equal to 3 is .

1. $\frac{2}{3}$
2. $\frac{1}{6}$
3. $\frac{3}{6}$
4. $\frac{1}{3}$

Q.

A bag contains 5 red , 4 green and 3 blue balls. If a ball is drawn at random, what is the probability of getting a red ball

1. $\frac{5}{12}$

2. 1

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

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

Q. If two dice are thrown simultaneously, then what is the probability that the product of the numbers obtained is a perfect square number.

1. 
   $\frac{1}{12}$
2. 
   $\frac{1}{9}$
3. 
   $\frac{5}{36}$
4. 
   
   $\frac{1}{6}$
   

Q.

If you flip a fair coin $4$ times, what is the probability that you will get exactly $2$ tails?