Home
Class 12
MATHS
If P(A) =3/5and P(B) =1/5, find P(AnnB)i...

If `P(A) =3/5`and `P(B) =1/5`, find `P(AnnB)`if A and B are independent events.

Text Solution

Verified by Experts

Given, A and B are independent events.
Therefore, `P(A∩B)=P(A)×P(B)`
`P(A∩B)=3/5*1/5=3/25`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NCERT ENGLISH|Exercise Exercise 13.4|17 Videos

  • MATRICES

    NCERT ENGLISH|Exercise All Questions|105 Videos

  • RELATIONS AND FUNCTIONS

    NCERT ENGLISH|Exercise EXERCISE 1.3|14 Videos

Similar Questions

Explore conceptually related problems

Let A and B be two events such that P(A)=1/(2),P(B)=pandP(AuuB)=3/(5) find 'p' if A and B are independent events.

Let A and B be two events such that P(A) = (1)/(2),P(B) = p and P(A cup B) = (3)/(5) find 'p' if A and b are independent events.

if A and B be two events such that P(A)=1/4, P(B)=1/3 and P(AuuB)=1/2, show that A and B are independent events.

If P(A)=2/5 and P(B)=1/3 and A and B are independent events, then find P(AnnB) .

Let A and B be two events such that, p(A B)=0.8 and p(A)=0.3, find p(B) if A and B are two independent events

If A and B be two events such that P(A)=1//4, P(B)=1//3 and P(AuuB)=1//2 show that A and B are independent events.

Give P(A) =3/5 and P(B) =1/5dot Find P(A or B) , if A and B are mutually exclusive events.

A and B are two events, such that P(A)=(3)/(5) and P(B)=(2)/(3) if A and B are independent then find P(A intersection B)

A and B are two events such that P(A)=3/5, P(B)=3/10 and P(AuuB)=1/2 Find whether A and B are independent or not.

Suppose A and B are two events with P(A) = 0.5 and P(AuuB)=0.8LetP(B)=p if A and B are mutually exclusive and P(B)=q if A and B are independent events, then value of q/p is ____.

NCERT ENGLISH-PROBABILITY-EXERCISE 13.2
  1. Events A and B are such that P(A)=1//2,P(B)=7//12, and P (not A or not...

    Text Solution

    |

  2. One card is drawn at random from a well shuffled deck of 52 cards. I...

    Text Solution

    |

  3. Given that the events E and F are such that P(E) = (1)/(2), P(E cup F)...

    Text Solution

    |

  4. A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be ...

    Text Solution

    |

  5. If A and B are two events such that P(A)=1/4, P(B)=1/2a n d\ P(AnnB)=1...

    Text Solution

    |

  6. Let A and B be independent events with P(A) = 0. 3and P(B) = 0. 4Find...

    Text Solution

    |

  7. Let E and F be events with P (E) =3/5, P (F) =3/(10)and P(EnnF)=1/5. A...

    Text Solution

    |

  8. If P(A) =3/5and P(B) =1/5, find P(AnnB)if A and B are independent even...

    Text Solution

    |

  9. A fair coin and an in biased die are tossed. Let A be the event head ...

    Text Solution

    |

  10. A box of oranges is inspected by examining g three randomly selected ...

    Text Solution

    |

  11. Two cards are drawn at random and without replacement from a pack of ...

    Text Solution

    |

  12. Two events A and B will be independent, if(A) A and B are mutually ex...

    Text Solution

    |

  13. Given two independent events A and B such thatP(A) = 0. 3,P(B) = 0. 6...

    Text Solution

    |

  14. A die is thrown thrice. Find the probability of getting an odd number ...

    Text Solution

    |

  15. Two balls are drawn at a random with replacement from a box contain...

    Text Solution

    |

  16. Probability of solving specific problem independently by A and B are 1...

    Text Solution

    |

  17. In a hostel 60% of the students read Hindi news paper, 40% read Engli...

    Text Solution

    |

  18. The probability of obtaining an even prime number on each die, when a...

    Text Solution

    |