Advertisements
Advertisements
प्रश्न
If three coins are tossed simultaneously, find the probability of the event to get no head
उत्तर
Sample space,
S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}
∴ n(S) = 8
Let A be the event of getting no head.
∴ A = {TTT}
∴ n(A) = 1
∴ P(A) = `("n"("A"))/("n"("S"))`
∴ P(A) = `1/8`
APPEARS IN
संबंधित प्रश्न
What is the probability of the event that a number chosen from 1 to 50 is a prime number?
If one die is rolled, then find the probability of the following event by completing the activity.
Event A: The number on the upper face is prime.
Activity: Let ‘S’ be the sample space.
S = {1, 2, 3, 4, 5, 6}
∴ n(S) = 6
Event A: Prime number on the upper face.
A = {`square`}
∴ n(A) = 3
P(A) = `square/(n(S))` .....[Formula]
= `square/6`
∴ P(A) = `1/square`
In Adarsh High School, out of 30 students in a class 3 students wear glasses (spectacles). If a student in the class is randomly selected, find the probability that he or she wears glasses (spectacles) by completing the following activity
Activity: There are a total of 30 students in the class.
∴ n(S) = `square`
Event: A selected student wears glasses (spectacles).
∴ n(A) = `square`
P(A) = `square/("n"("S"))` ......[Formula]
P(A) = `square`
There are 30 cards in a box, each bearing one of the numbers from 1 to 30. One card is drawn at random from the box. Find the probability of event that the card drawn shows a number which is a multiple of 5
If two dice are rolled simultaneously, find the probability of the following events.
Event A: The sum of the digits on the upper faces is at least 10
If three coins are tossed simultaneously, find the probability of the following events
Event A: To get no head.
If three coins are tossed simultaneously, find the probability of the following events.
Event B: To get at least two heads.
A bag contains 5 white balls and some blue balls. If the probability of drawing a blue ball is double that of a white ball, determine the number of blue balls in the bag
Using the digits 0, 2, 3, 5 the two-digit numbers are constructed without repetition of digits. Find the probability of the following events:
Condition for event A: The number formed is even.
Using the digits 0, 2, 3, 5 the two-digit numbers are constructed without repetition of digits. Find the probability of the following events:
Condition for event B: The number formed is prime number.
A handbag contained fifty ten rupees note, thirty-five fifty rupees note and fifteen hundred rupee note. One note is drawn from a handbag. What is the probability of getting:
Ten rupees note
A handbag contained fifty ten rupees note, thirty-five fifty rupees note and fifteen hundred rupees note. One note is drawn from a handbag. What is the probability of getting:
Fifty rupees note
Let E be an event and P(E) = `6/7`, then find the value of P(not E).
An urn contains 12 red balls, 15 yellow balls and 18 blue balls. A ball is choosen at random, then to find the probability of choosing a blue and red coloured balls, fill in the boxes.
Total number of balls = 12 + `square` + `square` = `square`
(1) Let E be the event that the choosen ball is blue.
Number of blue balls = `square`
Thus,
P(E) = `"Number of blue balls"/"Total number of balls"`
= `square/square`
(2) Let F be the event that the choosen ball is red.
Number of red balls = `square`
Thus,
P(F) = `square/"Total number of balls"`
= `square/square`
The probability that a relation R from {x, y} to {x, y} is both symmetric and transitive, is equal to ______.
A and B are events such that `P(A ∪ B)= 3/4`, `P(A ∩ B) = 1/4`, `P(overlineA) = 2/3` then `P(overlineA ∩ B)` is ______.
A card is drawn from well shuffled pack of 52 playing cards. Find the probability that the card drawn is a face card.