Home
Class 10
MATHS
A two digit number is to be formed fro...

A two digit number is to be formed from the digits 0, 1, 2, 3, 4 . Repetitionof the digits is allowed . Find the probability that the number so formed is a :
i. prime number.
ii. Mltiple of 4.
iii. Multiple of 11.

Text Solution

Verified by Experts

The correct Answer is:
(i) `P(A) = (3)/(10)`, (ii) `P(B) = (3)/(10)`, (iii) `P(C) = (1)/(5)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    TARGET PUBLICATION|Exercise (Multiple Choice Questions)|8 Videos

  • PROBABILITY

    TARGET PUBLICATION|Exercise Additional Problems for Practice (Based on Practice Set 5.1)|3 Videos

  • PROBABILITY

    TARGET PUBLICATION|Exercise Practice Set 5.4|5 Videos

  • MODEL QUESTION PAPER (PART - II)

    TARGET PUBLICATION|Exercise Questions|28 Videos

  • PYTHAGORAS THEOREM

    TARGET PUBLICATION|Exercise Chapter Assessment|16 Videos

Similar Questions

Explore conceptually related problems

A two-digit number is to be formed from the digits , 0,1,2,3,4. Repetition of the digits is allowed. Find the probability that the number so formed is a-

A two digit number is to be formed the digit 0,1,2,3,4. Repetition of the digit is allowed . Find the probability that the number so formed is a - multiple of 11

A two digit number is to be formed the digit 0,1,2,3,4. Repetition of the digit is allowed . Find the probability that the number so formed is a - Prime number

A two digit number is to be formed the digit 0,1,2,3,4. Repetition of the digit is allowed . Find the probability that the number so formed is a - multiple of 4

A two digit number is to be formed using the digits 0,1,2,3 Repetion of the digits is allowed .Find the prochased that a number so formed is a prime number

Two-digit numbers are formed from the digits 0,1,2,3,4 where the digits are not repeated. Find the probability that the number so formed is a prime numbers.

A two-digit number is to be formed from the digits 0,1,2,3. Repetition of the digits is not allowed. Complete the following activity to find the probability that th enumber so formed is (1) a prime number (2) a multiple of 4. The sample space S = { 10,12,13,20,21,23,30,31,32} :. n (S) = 9 ( 1) Let A be the event that the number so formed is a prime number. Then A = { " "}, n (A) = square P(A) = ( n(A))/( n (S)) =" ______"= "______" (2) Let B be the event that the number so formed is a multiple of 4. Then B ={" "}, n (B) = square P (B) = ( n (B))/( n (S))="______"=" ________"

Two-digit numbers are formed from the digits 0,1,2,3 without repetition. Complete the following activity to find the probability that the number so formed is a prime number.

How many 5 digit numbers can be formed with the digits 0,1,2,3 and 4 when repetition of digits is allowed?

Two-digit numbers are formed from the digits 0,1,2,3,4 where repetition of the digits are allowed. Find the probability of the events (i) the number is composite (ii) the number is a multiple of 7 (iii) the number is odd.

TARGET PUBLICATION-PROBABILITY-Problem Set -5
  1. Which number cannot represent a probability?

    Text Solution

    |

  2. A die is rolled. What is the probability that the number appearing on ...

    Text Solution

    |

  3. What is the probability of the event that a number chosen from 1 to 10...

    Text Solution

    |

  4. There are 40 cards in a bag. Each bears a number from 1 to 40. One car...

    Text Solution

    |

  5. If n(A)=2,P(A)=15,then" n"(S)=?

    Text Solution

    |

  6. Basketball players John, Vasim, Akash were practising the ball drop in...

    Text Solution

    |

  7. In a hockey team there are 6 defenders, 4 offenders and 1 goalie . Ou...

    Text Solution

    |

  8. Joseph kept 26 cards in a cap, bearing one English letter on each card...

    Text Solution

    |

  9. A balloon vendor has 2 red, 3 blue and 4 green balloons. He wants to c...

    Text Solution

    |

  10. A box contains 5 red, 8 blue and 3 green pens. Rutuja wants to pick ...

    Text Solution

    |

  11. Six faces of a die are as shown below If the die is rolled once, ...

    Text Solution

    |

  12. A box contains 30 tickets, bearing only one number from1 to 30 on eac...

    Text Solution

    |

  13. Length and breadth of a rectangular garden are 77 m and 50 m. There is...

    Text Solution

    |

  14. In a game of chance, a spining arrow comes to rest at one of the numbe...

    Text Solution

    |

  15. There are six cards in a box, each bearing a number from 0 to 5 . Find...

    Text Solution

    |

  16. A bag contains 3 red, 3 white and 3 green balls. One ball is taken out...

    Text Solution

    |

  17. Each card bears one letter from the word 'mathematics'. The cards are...

    Text Solution

    |

  18. Out of 200 students from a school, 135 like Kabaddi and the remaining ...

    Text Solution

    |

  19. A two digit number is to be formed from the digits 0, 1, 2, 3, 4 . ...

    Text Solution

    |

  20. The faces of a die bear number 0,1,2,3,4,5. If the die is rolled twi...

    Text Solution

    |