Home
Class 12
MATHS
One in 9 ships is likely to be wrecked w...

One in 9 ships is likely to be wrecked when they are set on a sail. When 6 ships are on sail, find the probability for
i) atleast one will arrive safely
ii) exactly three will arrive safely.

Text Solution

Verified by Experts

The correct Answer is:
`1-(1)/(9^(6)),20((8^(3))/(9^(6)))`
Promotional Banner

Topper's Solved these Questions

  • RANDOM VARIABLE

    AAKASH SERIES|Exercise EXERCISE-3.3 (LONG ANSWER QUESTIONS)|10 Videos

  • RANDOM VARIABLE

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|25 Videos

  • RANDOM VARIABLE

    AAKASH SERIES|Exercise EXERCISE-3.1 (LONG ANSWER QUESTIONS)|9 Videos

  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|88 Videos

  • RANDOM VARIABLES

    AAKASH SERIES|Exercise Exercise 4.4|9 Videos

Similar Questions

Explore conceptually related problems

One in 9 ships is likely to be wrecked , when they are set on sail. When 6 ships set on sail, the probability for exactly, 3 will arrive safely is

Find the probability of getting atleast one head when 5 coins are tossed

If on an average, out of 10 ships, one is drowned, then what is the probability that out of 5 ships atleast 4 reach safely ?

Find the probability of getting atleast one club card when two cards are drawn from pack of 52 cards.

Find the probability of obtaining two tails and one head when three coins are tossed.

In a box containing 15 bulbs, 5 are defective. If 5 bulbs are selected at random from the box, find the probability of the event, that (i) None of them is defective (ii) Only one of them is defective. (iii) Atleast one of them is defective.

AAKASH SERIES-RANDOM VARIABLE -EXERCISE-3.2 (VERY SHORT ANSWER QUESTIONS)
  1. If X~B(10,0.6) then, find mean and variance of X.

    Text Solution

    |

  2. In a binomial distribution n=400, p=1//5, It's standard deviation is

    Text Solution

    |

  3. X~B(n,p) and mean and variance of X are (15)/(2) and (15)/(4). Find n ...

    Text Solution

    |

  4. For a binomial distribution with mean 6 and variance 2, find the first...

    Text Solution

    |

  5. In a binomial distribution, the parameter n=6. If 9P(X=4)=P(X=2), then...

    Text Solution

    |

  6. The mean and variance of a Binomial variate are 2.4 and 1.44 respectiv...

    Text Solution

    |

  7. The mean and variance of a binomial distribution are 4 and 3 respectiv...

    Text Solution

    |

  8. If the difference between the mean and variance of a Binomial variate ...

    Text Solution

    |

  9. A fair coin is tossed a fixed number times . If the probability of get...

    Text Solution

    |

  10. 8 coins are tossed simultaneously. Find the probablity of getting at l...

    Text Solution

    |

  11. In the experiment of tossing a coin n times, if the variable X denotes...

    Text Solution

    |

  12. In an average , rain falls on 12 days in every 30 days. The probabilit...

    Text Solution

    |

  13. The probability that a person chosen at random is left handed (in hand...

    Text Solution

    |

  14. It is given that 10% of the electric bulbs manufactured by a company a...

    Text Solution

    |

  15. One in 9 ships is likely to be wrecked when they are set on a sail. Wh...

    Text Solution

    |

  16. The probability of a bomb hitting a bridge is 1//2 and two direct hits...

    Text Solution

    |