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# Test: Probability- 1

## 25 Questions MCQ Test Mathematics (Maths) Class 9 | Test: Probability- 1

Description
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. The solved questions answers in this Test: Probability- 1 quiz give you a good mix of easy questions and tough questions. Class 9 students definitely take this Test: Probability- 1 exercise for a better result in the exam. You can find other Test: Probability- 1 extra questions, long questions & short questions for Class 9 on EduRev as well by searching above.
QUESTION: 1

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

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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:

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:

= 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

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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: