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Test: Probability- 1 - Class 9 MCQ


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25 Questions MCQ Test Online MCQ Tests for Class 9 - Test: Probability- 1

Test: Probability- 1 for Class 9 2024 is part of Online MCQ Tests for Class 9 preparation. The Test: Probability- 1 questions and answers have been prepared according to the Class 9 exam syllabus.The Test: Probability- 1 MCQs are made for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Probability- 1 below.
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Test: Probability- 1 - Question 1

The probability of an impossible event is

Test: Probability- 1 - 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

Detailed Solution for Test: Probability- 1 - Question 2

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

Test: Probability- 1 - Question 3

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

Test: Probability- 1 - Question 4

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

Test: Probability- 1 - Question 5

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

Test: Probability- 1 - 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

Test: Probability- 1 - 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

Test: Probability- 1 - Question 8

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

Test: Probability- 1 - Question 9

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

Test: Probability- 1 - 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

Detailed Solution for Test: Probability- 1 - Question 10

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

Test: Probability- 1 - Question 11

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

Test: Probability- 1 - Question 12

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

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

Detailed Solution for Test: Probability- 1 - Question 12

ANSWER :- c

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

= 250/1000 + 550 / 1000 

= 800/ 1000  

= 4 / 5

Test: Probability- 1 - 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

Test: Probability- 1 - Question 14

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

Test: Probability- 1 - Question 15

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

Test: Probability- 1 - Question 16

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

Detailed Solution for Test: Probability- 1 - Question 16

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.

Test: Probability- 1 - Question 17

The probability of getting 53 Sundays in a leap year is

Test: Probability- 1 - 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

Test: Probability- 1 - 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

Test: Probability- 1 - Question 20

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

Test: Probability- 1 - Question 21

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

Test: Probability- 1 - 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

Test: Probability- 1 - 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.

Detailed Solution for Test: Probability- 1 - Question 23

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

Test: Probability- 1 - 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

Detailed Solution for Test: Probability- 1 - Question 24

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

Probability=8/100=2/25

Test: Probability- 1 - 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

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