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This mock test of Test: Probability- 1 for Class 9 helps you for every Class 9 entrance exam.
This contains 25 Multiple Choice Questions for Class 9 Test: Probability- 1 (mcq) to study with solutions a complete question bank.
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students definitely take this Test: Probability- 1 exercise for a better result in the exam. You can find other Test: Probability- 1 extra questions,
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QUESTION: 1

The probability of an impossible event is

Solution:

QUESTION: 2

In a cricket match, a batswoman hits the boundary 6 times out of 30 balls played by her. Find the probability that she did not hit a boundary is

Solution:

Total numbers of balls = 30

Numbers of boundary = 6

Numbers of time she didn't hit boundary = 30 - 6 = 24

Probability she did not hit a boundary = 24/30

QUESTION: 3

A die is thrown 300 times and odd numbers are obtained 153 times. Then, the probability of getting an even number is

Solution:

QUESTION: 4

Gugu throws a die once. The probability that she shows a number less than 5 is :

Solution:

QUESTION: 5

If each observation of the data is increased by 5, then their mean

Solution:

QUESTION: 6

Weather forecast from a news channel was correct 125 times out of 365 days. The probability that on a given day it was not correct is

Solution:

QUESTION: 7

Two coins are tossed simultaneously 300 times. Either one or two heads are obtained 198 times. The probability of getting no head is

Solution:

QUESTION: 8

Two coins are tossed simultaneously. Then, the probability of getting at most one head is

Solution:

QUESTION: 9

Which of the following cannot be the empirical probability of an event ?

Solution:

QUESTION: 10

A standard deck of 52 cards is shuffled. One card is drawn at random. The probability that the card is red or an ace is

Solution:

**ANSWER :- A**

**Solution :- The probability of drawing a red card is 1/2 as half the cards are red. So we need the sum 1/2 + 4/52 but we have counted red aces in both of these so we need to subtract the probability of drawing a red ace. So p(draw an ace or a red card)**

** = 4/52 + 26/52 - 2/52 **

** = 28/52 => 7/13**

QUESTION: 11

A fair die is tossed. Then, the probability of not rolling a number less than 5 is

Solution:

QUESTION: 12

Two coins are tossed 1000 times and the outcomes are recorded as below

Besed on this information, the probabilty for at most one head is

Solution:

**ANSWER :- c**

**Solution :- Required probability = P(0 heads) + P(1 head)**

**= 250/1000 + 550 / 1000 **

**= 800/ 1000 **

**= 4 / 5**

QUESTION: 13

1000 tickets of a lottery were sold and there are 5 prizes on these tickets. If Ruchi purchased one lottery ticket, the probability of winning prize is

Solution:

QUESTION: 14

A die is thrown once. The probability of getting a number 3 or 4 is

Solution:

QUESTION: 15

A die is thrown once. The probability of getting a number greater than 3 is

Solution:

QUESTION: 16

Two unbiased coins are tossed simultaneously. The probability of getting at least one head is

Solution:

When two coins are tossed simultaneously then the possible outcomes obtained are {HH, HT, TH, and TT}.

Here H denotes head and T denotes tail.

Therefore, a total of 4 outcomes obtained on tossing two coins simultaneously.

Consider the event of obtaining at the most one head. At most one head is obtained means either **no head** is obtained or **one head** is obtained.

The outcome(s) favourable to **no head** obtained is {TT}

The outcome(s) favourable to **one head** obtained is {HT, TH}

Therefore, the event of **obtaining at most one head** has 3 favourable outcomes. These are TT, HT and TH.

Therefore, the probability of obtaining at most one head = 3/4.

QUESTION: 17

The probability of getting 53 Sundays in a leap year is

Solution:

QUESTION: 18

A marble is drawn at random from a bag. If the bag contains 6 blue and 4 green marbles, the probability that the marble is green, is

Solution:

QUESTION: 19

Twenty balls are serially numbered and placed in a bag. The probability that a ball drawn is a multiple of 3 or 5, is

Solution:

QUESTION: 20

If the probability of winning a game is 0.3, the probability of losing it is

Solution:

QUESTION: 21

Two dice are thrown simultaneously. The probability of getting a doublet or a total of 4 is

Solution:

QUESTION: 22

A bag contains 5 red balls and some blue balls. The probability of drawing a blue ball is double that of a red ball. The number of blue balls in the bag is

Solution:

QUESTION: 23

A bag contains 12 balls out of which x are white. If one ball is drawn at random, the probability that it will be a white ball is x/12. If 6 more white balls are put in the bag, the probability of drawing a white ball will be double than that obtained in .find x.

Solution:

Total number of balls = 12

Total number of black balls = x

P (getting a black ball) = x/12

Now if 6 more black balls are put in the box, then

Total number of balls = 12 + 6 = 18

Total number of black balls = *x* + 6

P (getting a black ball now) = (x+6)/18

According to the condition given in the question

2(x/12) = (x+6)/18

3x = x+6

x = 3

QUESTION: 24

Cards marked with the numbers 2 to 101 are placed in a box and mixed thoroughly. One card is drawn from this bag. The probability that the number of the card is a prime number less than 20 is

Solution:

Prime number less than 20 are 2,3,5,7,11,13,17,19=8

Probability=8/100=2/25

QUESTION: 25

The king, queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled. One card is selected from the remaining cards. The probability of getting a club is

Solution:

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