Home
Class 11
MATHS
A basket contains 20 apples and 10 orang...

A basket contains `20` apples and `10` oranges out of which `5` apple and `3` orange are defective. If a person takes out `2` at random. What is the probability that either both are apples or both are good?

Text Solution

AI Generated Solution

To solve the problem, we need to find the probability that either both fruits drawn are apples or both are good fruits. Let's break this down step by step. ### Step 1: Determine the total number of fruits and their types - Total apples = 20 - Total oranges = 10 - Total fruits = 20 + 10 = 30 ### Step 2: Determine the number of good and defective fruits ...
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS

    RD SHARMA ENGLISH|Exercise All Questions|291 Videos
  • QUADRATIC EQUATIONS

    RD SHARMA ENGLISH|Exercise All Questions|85 Videos

Similar Questions

Explore conceptually related problems

A basket contains 20 apples and 10 oranges out of which 5 apples and 3 oranges are defective. If a person takes out 2 at random what is the probability that either both are apples or both are good?

A bag contains 5 apples and 7 oranges and another basket contains 4 apples and 8 oranges. One fruit is picked out from each basket. Find the probability that the fruits are both apples or both oranges.

A box contains 30 bolts and 40 nuts. Half of the bolts and half of the nuts are rusted. If two items are drawn at random from the box, what is the probability that either both are rusted or both are bolts ?

A lot of 25 bulbs contain 5 defective ones. One bulb is drawn at random from the lot. What is the probability that the bulb is good.

3 mangoes and 3 apples are in a box. If 2 fruits are chosen at random, the probability that one is a mango and the other is an apple, is

There are 100 bolts and 50 nuts in a box, out of which 50% bolts and 50% nuts are defective. Two items are drawn at random from the box, find the probability that both are either bolts or defective.

A bag contains 5 red, 6 white and 7 black balls. Two balls are drawn at random. what is the probability that both balls are red or both are black?

A box contains 10 mangoes out of which 4 are rotten. Two mangoes are taken out together. If one of them is found to be good, then find the probability that the other is also good.

A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be red ?

In a batch of 10 light bulbs , 2 are defective . If 3 of the bulbs are chosen at random, what is the probability that at least 1 of the chosen bulbs is defective ?

RD SHARMA ENGLISH-PROBABILITY-All Questions
  1. An urn contains twenty white slips of paper numbered from 1 through 20...

    Text Solution

    |

  2. An integer is chosen at random from the numbers ranging from 1 to 50. ...

    Text Solution

    |

  3. A basket contains 20 apples and 10 oranges out of which 5 apple and 3 ...

    Text Solution

    |

  4. One cards are drawn from a pack of 52 cards. What is the probability t...

    Text Solution

    |

  5. If A and B are any two events such that P(AuuB)=1/2 and P( A )=2/3 , ...

    Text Solution

    |

  6. Let A ,B ,C be three events such that P(A)=0. 3 ,P(B)=0. 4 ,P(C)=0. 8 ...

    Text Solution

    |

  7. A and B are two non-mutually exclusive events. If P(A)=1/4, P(B)=2/5 a...

    Text Solution

    |

  8. If E and F are events such that P(E) = 1/4, P(F) =1/2 and P(E and F)...

    Text Solution

    |

  9. Give P(A)" "=3/5 and P(B)" "=1/5dot Find P(A" "or" "B) , if A and B ar...

    Text Solution

    |

  10. A and B are two mutually exclusive events of an experiment. If P(A)=0....

    Text Solution

    |

  11. Give P(A)" "=3/4 and P(B)" "=1/4dot Find P(A""or""B) , if A and B are ...

    Text Solution

    |

  12. One number is chosen from numbers 1 to 200. Find the probability that ...

    Text Solution

    |

  13. A, B, C are three mutually exclusive and exhaustive events associated ...

    Text Solution

    |

  14. Four candidates A, B, C, D have applied for the assignment to coach a ...

    Text Solution

    |

  15. A card is drawn from a deck of 52 cards. Find the probability of get...

    Text Solution

    |

  16. Four cards are drawn at a time from a pack of 52 playing cards. Find t...

    Text Solution

    |

  17. An urn contains 9 red, 7 white and 4 black balls. If two balls are ...

    Text Solution

    |

  18. One card is drawn from a pack of 52 cards, each of the 52 cards being ...

    Text Solution

    |

  19. Suppose each child born is equally likely to be a boy or a girl. Con...

    Text Solution

    |

  20. Three dice are thrown together. Find the total number of samples space...

    Text Solution

    |