Home
Class 12
MATHS
What is the probability that the sum of ...

What is the probability that the sum of any two different single digit natural numbers is a prime number?

A

`(5)/(27)`

B

`(7)/(18)`

C

`(1)/(3)`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
B
Total no. of two different single digit natural number`= ""^(9)C_(2) =36`
The number of prime number which is sum of two different single digit number. (3,5, 7, 11, 13 & 17) = 14
`therefore` Required probability= ` (14)/(36) = (17)/(18)`
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIAL,QUADRATIC EQUATION & INEQUALITIES

    NDA PREVIOUS YEARS|Exercise Math|170 Videos

  • PROPERTIES OF TRIANGLE, INVERSE TRIGONOMETRIC FUNCTION

    NDA PREVIOUS YEARS|Exercise MCQ|103 Videos

Similar Questions

Explore conceptually related problems

Two dice are rolled simultaneously.The probability that the sum of the two numbers onthe dice is a prime number is the dice is a prime number is

If two dice are thrown together . Then , the probability that the sum of the numbers appearing on them is a prime number, is

Two dice were rolled simultaneously. Find the probability that the sum of the number on them was a two digits prime number .

Find the sum of all two digit natural numbers which are divisible by 4.

NDA PREVIOUS YEARS-PROBABILITY AND PROBABILIYT DISTRIBUTION-Multiple Choice Question
  1. An insurance company insured 2000 scooter drivers, 4000 car drivers ...

    Text Solution

    |

  2. A coin is tossed 5 times. What is the probability that tail appears an...

    Text Solution

    |

  3. What is the probability that the sum of any two different single digit...

    Text Solution

    |

  4. Three dice are thrown simultaneously. What is the probability that the...

    Text Solution

    |

  5. Two independent events A and B have P(A) = (1)/(3) and P(B) = (3)/(4)...

    Text Solution

    |

  6. A coin is tossed three times. The probability of getting head and tail...

    Text Solution

    |

  7. A card is drawn from a wel-shuffled deck of 52 cards. What is the prob...

    Text Solution

    |

  8. If two dice are thrown, then what is the probability that the sum on t...

    Text Solution

    |

  9. A certain type of missile hits the 36 probability target with p 0.3. W...

    Text Solution

    |

  10. For two mutually exclusive events A and B, P(A) = 0.2 and P(bar(A) CB...

    Text Solution

    |

  11. What is the probability of 5 Sundays in the month of December?

    Text Solution

    |

  12. A point is chosen at random inside a rectangle measuring 6 inches by 5...

    Text Solution

    |

  13. A fair coin is tossed 100 times. The probability of getting tails an ...

    Text Solution

    |

  14. A special dice with numbers 1,-1,2,-2,0 and 3 is thrown thrice. What i...

    Text Solution

    |

  15. There is 25% chance that it rains on any particular day. What is the p...

    Text Solution

    |

  16. A salesman has a 70% hance to sell a product to any customer. The beha...

    Text Solution

    |

  17. A student appears for tests I, II and III. The student is considered s...

    Text Solution

    |

  18. Three candidates solve a question. Odds in favour of the correct answe...

    Text Solution

    |

  19. A medicine is known to be 75% effective to cure a patient. If the medi...

    Text Solution

    |

  20. For two events, A and B, it is given that P(A) = (3)/(5), P(B) = (3)/(...

    Text Solution

    |