Home
Class 12
MATHS
Find the probability distribution of the...

Find the probability distribution of the number of successes in two tosses of a die, where a success is defined as
(i) number greater than 4
(ii) six appears on at least one die

Text Solution

AI Generated Solution

To solve the problem, we need to find the probability distribution of the number of successes in two tosses of a die, where a success is defined in two different ways: ### Part (i): Success defined as a number greater than 4 1. **Define the Successes**: - The numbers greater than 4 on a die are 5 and 6. Therefore, a success occurs if we roll either a 5 or a 6. 2. **Possible Outcomes**: ...
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Find the probability distribution of the number of successes in two tosses of a die, where a success is defined as number greater than 4 appears on at least one die.

Find the probability distribution of the number of sixes in three tosses of a die.

Find the probability distribution of the number of successes in two tosses of a die, where a success is defined as six appears on at least one die.

Obtain the probobility distribution of the number of sixes in two tosses of a fair die.

Find the probability distribution of the number of success in two tosses f a die,where a success is defined as getting a number greater than 4. Also,find the mean and variance of the distribution.

(a) (i) Find the probability distribution of the number of heads when three coins are tossed simultaneously. (ii) Find the probability distribution of the number of tails in the simultaneous tosses of three coins. (iii) Find the probability distribution of the number of heads in the simultaneous toss of four coins. (b) (i) Find the probability distribution of the number of heads in three tosses of a coin. (ii) Find the probability distribution of the number of sixes in two tosses of a die. ( c ) Find the probability distribution of the number of heads (tails) in four tosses of a coin.

An unbiased die is thrown twice.Find the probability distribution of the number of sixes.

A dice is rolled twice. Find the probability distribution of number of successes if : A number greater than 4 is to be considered as success.

By throwing a die once the probability of getting a number greater than 4 is :

Probability of throwing a 5 only on the first of two successive throws of an ordinary die is

NCERT-PROBABILITY-Exercise 13.4
  1. The random variable X has a probability distribution P(X) of the foll...

    Text Solution

    |

  2. A random variable X has the following probability distribution:Determ...

    Text Solution

    |

  3. State which of the following are not the probability distributions of...

    Text Solution

    |

  4. Let X represent the difference between the number of heads and the nu...

    Text Solution

    |

  5. An urn contains 5 red and 2 black balls. Two balls are randomly drawn...

    Text Solution

    |

  6. Find the probability distribution of the number of successes in two t...

    Text Solution

    |

  7. Find the probability distribution of(i)         number of heads in tw...

    Text Solution

    |

  8. A coin is biased so that the head is 3 times as likely to occur as ta...

    Text Solution

    |

  9. From a lot of 30 bulbs which include 6 defectives, a sample of 4 bulb...

    Text Solution

    |

  10. Two numbers are selected at random (without replacement) from the fir...

    Text Solution

    |

  11. Let X denote the sum of the numbers obtained when two fair dice are r...

    Text Solution

    |

  12. Find the mean number of heads in three tosses of a fair coin.

    Text Solution

    |

  13. Two dice are thrown simultaneously. If X denotes the number of sixes,...

    Text Solution

    |

  14. The mean of the numbers obtained on throwing a die having written 1 o...

    Text Solution

    |

  15. Suppose that two cards are drawn at random from a deck of cards. Let ...

    Text Solution

    |

  16. A class has 15 students whose ages are 14, 17, 15, 14, 21, 17, 19, 20...

    Text Solution

    |

  17. In a meeting, 70% of the members favour and 30% oppose a certain prop...

    Text Solution

    |