Home
Class 12
MATHS
Find the probability distribution of(i) ...

Find the probability distribution of(i)         number of heads in two tosses of a coin.(ii)        number of tails in the simultaneous tosses of three corns.(iii)       number of heads in four tosses of a com.

Text Solution

AI Generated Solution

To solve the problem, we will find the probability distributions for the three scenarios mentioned in the question. ### (i) Number of Heads in Two Tosses of a Coin 1. **Sample Space**: The possible outcomes when tossing a coin twice are: - HH (2 heads) - HT (1 head, 1 tail) - TH (1 head, 1 tail) ...
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Find the probability distribution for number of heads obtained in two tosses of a coin.

Find the probability distribution for number of heads obtained in three tosses of a coin.

Find the probability distribution of a) number of heads in two tosses of a coin, b) number of tails in three tosses of a coin.

Find the probability distributionof the number of heads when three coins are tossed.

Find the probability distribution of X ,the number of heads in two tosses of a coin ( or a simultaneous toss of two coins).

Find the expectation of the number of heads in 15 tosses of as coin.

(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.

The mean of the number of heads in two tosses of a coin 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

    |