Theoretical Probability vs Experimental Probability

Q.

Cards bearing numbers $2,4,6,8,10,12,14,16,18$ and $20$ are kept in a bag. A card is drawn a random from the bag. Find the probability of getting a card which is: a prime number, a number divisible by$4$, a number that is a multiple of $6$, an odd number.

Q.

You spin a spinner with $5$ equal spaces and roll a six-sided die.

How many possible outcomes are in the sample space?​

Q. The following table shows the number of times target was hit by a shooter in a shooting game in each of his 10 games.

Game	No. of times target was hit
first game	1
second game	2
third game	4
fourth game	4
fifth game	7
sixth game	3
seventh game	8
eighth game	8
ninth game	9
tenth game	5

Find the probability that he had exactly hit 8 times.

1. 0.2

Q.

A single letter is selected at random from the word PROBABILITY. The probability that is a vowel, is

1. $\frac{8}{11}$

2. $\frac{4}{11}$

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

4. $\frac{3}{11}$

Q. If in a random experiment, the total number of outcomes are 'n' of which 'm' are favourable for an event E , then P(E) = __________.

1. m
2. n
3. $\frac{m}{n}$
4. $\frac{n}{m}$

Q. Without actually conducting the experiment if we say that the probability of getting head when a coin is tossed 10 times is $\frac{1}{2}$, then the probability obtained is called ________ probability.

1. Experimental
2. Theoretical
3. Empirical
4. All of the above.

Q. Arrange the events in the increasing order (from top to bottom) of their probabilities, when a die is rolled.

1. Getting 8
2. Even prime no.
3. A multiple of 3
4. A multiple of 2
5. No. less than 6

Q. Sort the events in increasing order of the no. of sample points (Event with least number of sample points at the top).

1. Tossing 2 coins
2. Rolling of a die
3. Tossing 3 coins
4. Rolling 2 dices

Q. Two dice are thrown simultaneously. Match the following events with their probabilities.

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

Q. If a coin is tossed 10 times, then each coin toss is a trial of the experiment.

1. True
2. False

Q. A coin is tossed twice. If the second draw results in a head, a die is rolled. Write the sample space for this experiment.

Q. The probability of drawing an ace from a pack of 52 cards is $\frac{1}{13}.$

1. False
2. True

Q. {HH, HT, TH} is the sample space obtained when two coins are tossed simultaneously.

1. True
2. False

Q. 5 defective glasses are accidentally mixed with 20 good ones. The good glasses and the defective ones look the same from outside. If a glass is chosen at random, what is the probability that the chosen glass is good?

1. 0.8

Q. The probabality of an event lies between 1 and infinity.

1. True
2. False

Q. A coin is tossed twice. If the second throw results in a tail, a die is thrown. Describe the sample space for this experiment.

Q.

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

Q. Two dice are thrown simultaneously. Match the following events with their probabilities.

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

Q. The total number of outcomes in rolling two dice simultaneously is 36.

1. True
2. False