Advertisements
Advertisements
Question
Two coins are tossed simultaneously. The probability of getting at the most one head is ______.
Options
`1/2`
`1/4`
`3/4`
1
Solution
Two coins are tossed simultaneously. The probability of getting at the most one head is `underline(3/4)`.
Explanation:
When two coins are tossed simultaneously
Sample Space= {HH, HT, TH, TT}
Thus,
Probability of getting at most one head = `({T T, HT, TH})/({HH, HT, TH, T T})`
= `3/4`
Thus, the probability of getting at most one head is `3/4`.
APPEARS IN
RELATED QUESTIONS
Write the sample space for selecting a day randomly of the week.
A die is thrown, find the probability of the event of getting a number less than 3.
A bag contains 3 white, 5 black and 2 red balls, all of the same shape and size. A ball is drawn from the bag without looking into it, find the probability that the ball drawn
not a black ball.
In a single throw of a dice, find the probability of getting 5.
In a single throw of a dice, find the probability of getting 8.
In a single throw of a dice, find the probability of getting a number less than 8.
A dice is thrown once. Find the probability of getting a number between 3 and 8.
For the following experiment write sample space ‘S’ and number of sample points n(S).
One coin and one die are thrown simultaneously.
The arrow is rotated and it stops randomly on the disc. Find out on which colour it may stop.
Write sample space ‘S’ and number of sample point n(S) for the following experiment. Also write events A, B, C in the set form and write n(A), n(B), n(C).
Two digit numbers are formed using digits 0, 1, 2, 3, 4, 5 without repetition of the digits.
Condition for event A : The number formed is even
Condition for event B : The number formed is divisible by 3.
Condition for event C : The number formed is greater than 50.
There are 15 tickets in a box, each bearing one of the numbers from 1 to 15. One ticket is drawn at random from the box. Find the probability of event that the ticket drawn - shows an even number.
There are 15 tickets in a box, each bearing one of the numbers from 1 to 15. One ticket is drawn at random from the box. Find the probability of event that the ticket drawn - shows a number which is a multiple of 5.
Two coins are tossed simultaneously. Complete the following activity of writing of the sample space (S) and expected outcomes of the events :
1) Event A : to get at least one head.
2) Event B : to get no head.
Activity : If two coins are tossed simultaneously
∴ s = {`square , "HT","TH", square`}
1) Event A : at least getting one head.
∴ A = {`"HH" , square , "TH"`}
2) Event B : to get no head.
∴ B = {`square`}
Two coins are tossed simultaneously. Write the sample space ‘S’.
Write the sample space if two coins are tossed.
Two dice are thrown, find the probability of getting
(1) The sum of numbers on their upper faces is at least 10.
(2) The sum of the numbers on their upper faces is divisible by 5.
(3) The number on the upper face of the first die is greater than the number on the upper face of the second die.
When a dice is thrown, the number of sample points in the sample space are ______
When two dice are thrown, the number of sample points in the sample space are ______
Write a sample space when a die is thrown
Assertion (A): A die is thrown once and the probability of getting an even number is `2/3`.
Reason (R): The sample space for even numbers on a die is {2, 4, 6}.
