Experimental Probability

Q. Two different dice are thrown together. Find the probability that the product of the number appeared is less than 18.

OR

Harpreet tosses two different coins simultaneously. What is the probability that she gets:
(i) at least one head ?
(ii) one head and one tail ?

Q. We know that Probability of an event E, written as
P(E)
$=\frac{NumberofoutcomesfavourabletoE\left(m\right)}{Numberofallpossibleoutcomesoftheexperiment\left(n\right)}$.

Which of the following options correctly explains the relationship between m and n?

1. $m=n>0$
2. $m\ge 0,n>0,m\le n$
3. $m\ge 0\ge n$
4. $0\ge m\ge n$

Q.

A test paper contains 100 true/false questions. The number of questions with answer "true" was 59. Find the probability that a question’s answer is "false".

1. 0.59

2. 0.41

3. 0.51

4. 0.49

Q.

Theoretical probability of an event A is given as $\frac{A}{B}$ where

S1 : A is the number of outcomes favourable to E

S2 : B is the total number of possible outcomes.

1. S1 and S2 are false

2. S1 and S2 are true

3. S1 is true and S2 is false

4. S1 is false and S2 is true

Q.

A carton consists of 100 shirts of which 88 are good, 8 have minor defects and 4 have major defects. Jimmy, a trader accepts shirts only which are good. But, Sujatha, another trader will reject shirts which have only major defects. One shirt is drawn randomly. Find the probability that the shirt selected is (i) Acceptable to Jimmy (ii) Acceptable to Sujatha

1. 0.88, 0.96

2. 0.04, 0.96

3. 0.12, 0.04

4. 0.96, 0.04

Q.

The theoretical probability of getting a head in a toss of a coin is __. Give the answer up to 1 decimal place.

Q.

In theoretical probability approach, the outcomes are

1. Unequally likely

2. equally likely

3. equally unlikely

4. unequally unlikely

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. .51

3. .59

4. .49

Q.

According to the theoretical probability approach of tossing a coin, the probability of getting a head is (in decimal form)

__

Q.

Empirical probability is defined as

1. Probability based on guess

2. Probability based on theory

3. Probability based on instincts

4. Probability based on experimental data