Home
Class 12
MATHS
One ticket is selected at ransom form 50...

One ticket is selected at ransom form 50 tickets numbered `00,01,02,…,49.` Then the probability that the sum of the digits on the selected ticket is 8, given that the product of these digits is zero, is

A

`1/14`

B

`1/7`

C

`5/14`

D

`1/50`

Text Solution

Verified by Experts

The correct Answer is:
A
`S={00,01,02,....,49}`
Let A be the event that the sum of the digits on the selected ticket is 8. Then
`A={08,17,26,35,44}`
Let B be the event that the product of the digits is zero. Than
`B={00,01,02,03,...,09,10,20,30,40}`
`thereforeAnnB={8}`
The required probability is
`P(A//B)=(P(AnnB))/(P(B))`
`=(1/50)/(14/50)=1/14`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PROBABILITY II

    CENGAGE PUBLICATION|Exercise MULTIPLE CORRECT ANSWER TYPE|6 Videos

  • PROBABILITY II

    CENGAGE PUBLICATION|Exercise NUMARICAL VALUE TYPE|24 Videos

  • PROBABILITY I

    CENGAGE PUBLICATION|Exercise JEE Advanced|7 Videos

  • PROGRESSION AND SERIES

    CENGAGE PUBLICATION|Exercise ARCHIVES (NUMERICAL VALUE TYPE )|8 Videos

Similar Questions

Explore conceptually related problems

One ticket is selected at random from 100 tickets numbered 00,01,02,...,98,99. If x_1, a n dx_2 denotes the sum and product of the digits on the tickets, then P(x_1=9//x_2=0) is equal to

One ticket is selected at random from 100 tickets numbered 00,01,02, …, 99. Suppose A and B are the sum and product of the digit found on the ticket, respectively. Then P((A=7)//(B=0)) is given by

Two consecutive drawings of a digit are made at random from the ten digits 0, 1, 2, …, 9. Find the probability that the product of the chosen digits is zero, given that the first drawn digit is replaced before the second drawing.

If two numbers are selected at random from the numbers 1, 2, 3, 4 determine the probabilities that their sum is odd when they are selected (a) together (b) one by one with replacement.

In a lottery of 50 tickets numbered 1 to 50, one ticket is drawn. Find the probability that the drawn ticket bears a prime number.

Numberse are selected at random, one at a time, from the two-digit numbers 00,01,02,….99 with replacement. An event E occurs if and only if the product of the two digits of a selected number is 18. If four numbers are selected, find probability that the event E occurs at least 3 times.

A three-digit number is selected at random from the set of all three-digit numbers. The probability that the number selected has all the three digits same is 1//9 b. 1//10 c. 1//50 d. 1//100

Two integers are selected at random from the set {1, 2, …, 11}. Given that the sum of selected numbers is even, the conditional probability that both the numbers are even is

A box contains 10 tickets numbered from 1 to 10 . Two tickets are drawn one by one without replacement. The probability that the "difference between the first drawn ticket number and the second is not less than 4" is

What is the probability that a number selected at random from, 1, 2, 3,...., 100 has a digit 4?

Home
Profile