Home
Class 10
MATHS
In each of the experiments, write the ev...

In each of the experiments, write the events using set notation and mention the total number of elements in each of them. Find the probability of each event :
Three coins are tossd simultaneously. (i) R is the event of getting at least two heads. (ii) Q is the event of getting at least one tail.

Text Solution

Verified by Experts

The correct Answer is:
`S=PHHH, HHT,THH, HT T, THT,,T TH, T T T}.n(S)=8`
`(i)R={HHH, HHT, HTH, THH};n(R)=4;P(R)=1/2.`
(ii) `Q={HHT, HTH, THH, HT T, THT, T TH,T T T};n(Q)=7;`
`P(Q)=7/8.`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PROBABILITY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise ASSIGNEMENT 5.3|7 Videos
  • PRACTICE QUESTIONS BASED

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise SURFACE AREA AND VOLUME|17 Videos
  • PYTHAGORAS THEOREM

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Challenging Questions|5 Videos

Similar Questions

Explore conceptually related problems

In each of the experiments, write the events using set notation and mention the total number of elements in each of them. Find the probability of each event : Two coins are tossed simultaneously. (i) X is the event of getting at least two heads. (ii) Y is the event of getting at least one tail.

Three coins are tossed simultaneously : (i) P is the event of getting at least two heads. (ii) Q is the event of getting a tail on the second coin.

Knowledge Check

  • Two coins are tossed simultaneously. What is the probability of getting at least one tail ?

    A
    `(1)/(2)`
    B
    `(2)/(3)`
    C
    `(3)/(4)`
    D
    `(1)/(4)`
  • Three fair coins are tossed simultaneously.Find the probability of getting at least one head and one tail.

    A
    `2/8`
    B
    `1/2`
    C
    `3/10`
    D
    `3/4`
  • Similar Questions

    Explore conceptually related problems

    In each of the experiments, write the events using set notation and mention the total number of elements in each of them. Find the probability of each event : A die is rolled. (i) A is the event of getting a number less than 4,(ii) B is the event of getting a prime number.

    Two coins are tossed simultaneously. Find the probability of getting at least one head.

    Two coins are tossed simultaneously. What is the probability of getting at least one head?

    Two coins are tossed simultaneously.What is the probability of getting at least one head?

    Three coins are tossed simultaneously: P is the event of getting at least two heads.Q is the event of getting no head.R is the event of getting head on second coin

    Two coins are tossed simultaneously. What is the probability of event A of getting (i) at the most one head (ii) at least one tail.