Home
Class 12
MATHS
It is given that in a group of 4 student...

It is given that in a group of `4` students, the probability of `2` students not having the same birthday is `0.893`. What is the probability that the `2` students have the same birthday?

Text Solution

Verified by Experts

The correct Answer is:
`d rarr q,t`
`(2ab)/(a+b)=4`
`rArrab=2a+2b`
Now, q=10 -a
and 2q=5+b
`rArr20-2a=5+b`
`rArr15=2a+b` (2)
From (1) and (2),
a(15-2a)=2a+2(15-2a)
`rArr15a-2a^(2)=-2a+30`
`rArr2a^(2)-17a+30=0`
`rArr a=6,5/2` accordingly q=4, `15/2`
`rArrabs(q-a)=2,5`
Note: Solutions pff the remaining parts are given in their respective chapters.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PROGRESSION AND SERIES

    CENGAGE|Exercise JEE Advanced Previous Year|16 Videos

  • PROBABILITY II

    CENGAGE|Exercise JEE Advanced Previous Year|25 Videos

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE|Exercise JEE Advanced Previous Year|11 Videos

Similar Questions

Explore conceptually related problems

It is given that in a group of 3 students, the probability of 2 students not having the same birthday is 0.992. What is the probability that the 2 students have the same birthday?

If the probability of success of an experiment is 0.4 . What is the probability of failure ?

Knowledge Check

  • A problem is given to three students A,B,C then probability of solving is 0.6,0.5 and 0.7 respectively. What is the probability that is solved:

    A
    `0.94`
    B
    `0.35`
    C
    `0.06`
    D
    `0.42`

  • The probability that a student will score centum in mathematics is 4/5 . The probability that he will not score centum is ………………… .

    A
    `1/5`
    B
    `2/5`
    C
    `3/5`
    D
    `4/5`

    • Similar Questions

    Explore conceptually related problems

    The probability that a student is not a swimmer is (1)/(5) Then the probability that out of five students, four are swimmers is

    Savita and Hamida are friends . What is the probability that both will have the same birth day ? ( ignoring a leap year )

    Two thirds of students in a class are boys and rest girls. It is known that the probability of a girls. It is known that the probability of a girl getting a first grade is 0.85 and that of boys is 0.70. Find the probability that a student chosen at random will get first grade marks.

    In answering a question on a multiple choice test, a student either knows the answer or guesses. Let 3/4 be the probability that he knows the answer and 1/4 be the probability that he guesses. Assuming that a student who guesses at the answer will be correct with probability 1/4 . What is the probability that the student knows the answer given that he answered it correctly ?

    Two thirds of students in a class are boys and rest girls. It is known that the probability of a girl getting a first grade is 0.85 and that of boys is 0.70. Find the probability that a student chosen at random will get first grade marks.

    In an entrance test that is graded on the basis of two examinations, the probability of a randomly chosen student passing the first examination is 0.8 and the probability of passing the second examination is 0.7. The probability of passing atleast one of them is 0.95. What is the probability of passing both?

    Home
    Profile