Probability Foundation CUET CBSE questions

CBSE - Probability

 

Probability 

The king, queen and jack of hearts are removed from a deck of 52 playing cards and then wellshuffled. One card is selected from the remaining cards. Then the probability of getting a king is  
 
1)  1 / 49
2)  2 / 49
3)  3 / 49 
4) 1 

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 

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 

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 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 

 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 

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 

Two dice are tossed. The  probability that the  total sum is a prime number is:  
 
1) 1 / 6
2) 5 / 12
3) 1 / 2
4) 7 / 9 

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

Option: 2

Solution :

-.

 

Probability 

Two cards are drawn together from a pack of 52 cards. The probability that one is  a spade and other is a heart, is :    
 
1) 3 / 20
2) 29 / 34
3) 47 / 100
4) 13 / 102 

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

Option: 4

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 :

-.

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