Probability Foundation CUET CBSE questions

CBSE - Probability

 

Probability 

There are 50 cards maked with the numbers 1 to 50. One card is drawn at random. What is the probability that number on the card is a prime number ?

1) 3 /10
2) 1 / 5
3) 1 / 4
4) 2 /15

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 1

Solution :

-.

 

Probability 

Mallica and Deepica are friends. Then the probability that both have same birthday is (ignoring aleap year)  
 
1) 364 / 365
2) 1 / 365
3) 363 / 365 
4) 2 / 365 

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 2

Solution :

-.

 

Probability 

 Probability that a non leap year should have 53 Mondays, will be  
 
1) 2 / 7
2) 3 / 7
3) 1 / 7
4) 5 / 7

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 3

Solution :

-.

 

Probability 

A die is thrown twice. Then the probability that 5 will come up at least once is  
 
1) 11/ 36
2) 7 / 36
3) 5 / 36 
4) 0 

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 1

Solution :

-.

 

Probability 

Box A contains 30% first grade articles. Box B contains 40% first grade articles. One article is draw from each box. Then the probability that both articles drawn are first grade is   
 
1) 1 / 25
2) 3 / 25
3) 7 / 25 
4) 9 / 25 

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 2

Solution :

-.

 

Probability 

A bag contains 2 red, 3 green and 2 blue  balls. Two balls are drawn at random. What is the probability that none  of the balls drawn is blue? 
 
1)  10 / 21
2)  11 / 21
3)  2 / 7
4) 5 / 7 

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 1

Solution :

-.

 

Probability 

 Three unbiased coins are tossed together. Then the probability of getting at least one head and one tail is   
 
1) 1 / 4
2) 1
3) 3 / 4 
4) 0 

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 3

Solution :

-.

 

Probability 

In a single throw of three dice, the probability of getting a total of 17 or 18 is 
 
1) 53/54
2) 51/54
3) 1/54 
4) 0 

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 3

Solution :

-.

 

Probability 

 A game consists of tossing a one rupee coin 3 times and noting its outcome each time. Hanif wins if all the tosses give the same result i.e., three heads or three tails, and loses otherwise. Calculate the probability that Hanif will lose the game.  
 
1) 1 / 4
2) 1
3) 3 / 4 
4) 0 

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 3

Solution :

-.

 

Probability 

If all the face cards are removed from a pack of 52 cards and then a card is randomly drawn then the probability of getting a ‘10 of heart’ will be  
 
1) 1 / 40
2) 2 / 49
3) 3 / 40 
4) 3 / 17 

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 1

Solution :

-.

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