Home
Class 11
MATHS
The number lock of a suit case has 4 whe...

The number lock of a suit case has 4 wheels each labelled with ten digits from 0 to 9 . the lock opens with a sequence of four digits with no repeats. what is the probability of a person getting the right sequence to open the suitcase.

Promotional Banner

Topper's Solved these Questions

  • PRINCIPLE OF MATHEMATICL INDUCTION

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|40 Videos
  • RELATIONS AND FUNCTIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|83 Videos

Similar Questions

Explore conceptually related problems

The number lock of a suitcase has 4 wheels, each labelled with ten digits from 0 to 9. The lock opens with a sequence of four digits with no repeats. What is the probability of a person getting the sequence to open the suit case?

A bag consists of 10 balls each marked with one of the digits 0 to 9 . If four balls are drawn successively with replacement from the bag, what is the probability that none is marked with the digit 0?

Numbers from 0 to 9 are written on cards and placed in a box and numbers from 1 to 9 are written on cards and placed in another box. One card is taken from each box without looking into it . What is the probability of getting the sum as 18?

How many three digit numbers can be written using digits 4,6, and 9 without repeating the digits? i) What is the probability that the numbers are odd numbers? ii) What is the probability that the numbers are even numbers?

From all two digit numbers with each digit '1,2,3,4' or 5, one number is chosen: a) What is the probability of both digits being the same? b) What is the probability of the sum of the digits being '8 ?' c) What is the probability that it is a multiple of '5 ?'

IF 4 digit numbers greater than or equal to 5000 are randomly formed from the digits 0,1,3,5 and 7 what is the probability of forming a number divisible by 5 when the repetition of digit is not allowed?

IF 4 digit numbers greater than or equal to 5000 are randomly formed from the digits 0,1,3,5 and 7 what is the probability of forming a number divisible by 5 when the repetition of digit is allowed?

Consider the number 2751. The sum of its digital is 2+7+5+1=15 . Adding the digits of 15 we get 1+5=6 . This number 6 is called the 'digital root' of the number 2751. That is, to find the digital root of a number, find the sum of its digits (Don't forget to find the sum of the digits again, if the first sum has more than one digit) Let us see one more example. The sum of the digits of the numbe 679412 is 6+7+9+4+1+2=29 . Sum of digits of 29=2+9=11 . Sum of digits of 11=1+1=2 . Therefore the digital root of 679412 is 2 . Digital roots have an interesting property. To see this, consider the product 43times27=1161 . The digital roots of the numbers 43 and 27 are 4+3=7 and 2+7=9 . Product of the digital roots= 7times9=63 . Digital root of 63=6+3=9 . The Digital root of 1161 is also 9(1+1+6+1=9) that is the digital root of 1161 =The digital root of 63 , where 63 is the product of the digital roots of 43 and 27. This property is true for all other natural numbers. If the digital root of a is 5 and the digital root of b is 2. Then what is the digital root of ab ?

Consider the number 2751. The sum of its digital is 2+7+5+1=15 . Adding the digits of 15 we get 1+5=6 . This number 6 is called the 'digital root' of the number 2751. That is, to find the digital root of a number, find the sum of its digits (Don't forget to find the sum of the digits again, if the first sum has more than one digit) Let us see one more example. The sum of the digits of the numbe 679412 is 6+7+9+4+1+2=29 . Sum of digits of 29=2+9=11 . Sum of digits of 11=1+1=2 . Therefore the digital root of 679412 is 2 . Digital roots have an interesting property. To see this, consider the product 43times27=1161 . The digital roots of the numbers 43 and 27 are 4+3=7 and 2+7=9 . Product of the digital roots= 7times9=63 . Digital root of 63=6+3=9 . The Digital root of 1161 is also 9(1+1+6+1=9) that is the digital root of 1161=The digital root of 63 , where 63 is the product of the digital roots of 43 and 27. This property is true for all other natural numbers. What is the digital root of 345?

Consider the number 2751. The sum of its digital is 2+7+5+1=15 . Adding the digits of 15 we get 1+5=6 . This number 6 is called the 'digital root' of the number 2751. That is, to find the digital root of a number, find the sum of its digits (Don't forget to find the sum of the digits again, if the first sum has more than one digit) Let us see one more example. The sum of the digits of the numbe 679412 is 6+7+9+4+1+2=29 . Sum of digits of 29=2+9=11 . Sum of digits of 11=1+1=2 . Therefore the digital root of 679412 is 2 . Digital roots have an interesting property. To see this, consider the product 43times27=1161 . The digital roots of the numbers 43 and 27 are 4+3=7 and 2+7=9 . Product of the digital roots= 7times9=63 . Digital root of 63=6+3=9 . The Digital root of 1161 is also 9(1+1+6+1=9) that is the digital root of 1161=The digital root of 63 , where 63 is the product of the digital roots of 43 and 27. This property is true for all other natural numbers. What is the digital root of 927?

A N EXCEL PUBLICATION-PROBABILITY-QUESTION BANK
  1. A box contains 10 red marbles,20 blue marbles and 30 green marbles. 5 ...

    Text Solution

    |

  2. A box contains 10 red marbles,20 blue marbles and 30 green marbles. 5 ...

    Text Solution

    |

  3. 4 cards are drawn from a well shuffled deck of 52 cards.What is the pr...

    Text Solution

    |

  4. A die has two faces each with number 1,three faces with number 2 and o...

    Text Solution

    |

  5. A die has two faces each with number 1,three faces with number 2 and o...

    Text Solution

    |

  6. A die has two faces each with number 1,three faces with number 2 and o...

    Text Solution

    |

  7. In a certain lottery ticket 10000 tickets are sold and 10 equal prizes...

    Text Solution

    |

  8. In a certain lottery ticket 10000 tickets are sold and 10 equal prizes...

    Text Solution

    |

  9. In a certain lottery ticket 10000 tickets are sold and 10 equal prizes...

    Text Solution

    |

  10. Out of 100 students,two sections of 40 and 60 are formed.If you and yo...

    Text Solution

    |

  11. Out of 100 students,two sections of 40 and 60 are formed.If you and yo...

    Text Solution

    |

  12. Three letters are dictated to three persons and an envelope is address...

    Text Solution

    |

  13. A and B are two events such that P(A)=0.54 , P(B)=0.69 , and P(AcapB)=...

    Text Solution

    |

  14. A and B are two events such that P(A)=0.54 , P(B)=0.69 , and P(AcapB)=...

    Text Solution

    |

  15. A and B are two events such that P(A)=0.54 , P(B)=0.69 , and P(AcapB)=...

    Text Solution

    |

  16. Suppose A and B are two events associated with a random experiment so ...

    Text Solution

    |

  17. From the employees of a company 5 persons are selected to represent t...

    Text Solution

    |

  18. IF 4 digit numbers greater than or equal to 5000 are randomly formed f...

    Text Solution

    |

  19. IF 4 digit numbers greater than or equal to 5000 are randomly formed f...

    Text Solution

    |

  20. The number lock of a suit case has 4 wheels each labelled with ten dig...

    Text Solution

    |