Advertisements
Advertisements
प्रश्न
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.
उत्तर
As we have to form two-digit numbers, 0 cannot be at tens place.
The Sample Space S = {20, 23, 25, 30, 32, 35, 50, 52, 53}
∴ n (S) = 9
Let A be the event that the number formed is even.
Even two-digit numbers = {32, 52, 20, 30, 50}
⇒ n(A) = 5
Thus, P(A) = `"Number of even digits numbers"/"Total number of two-digits numbers"`
= `5/9`
APPEARS IN
संबंधित प्रश्न
If n(A) = 5 , P(A) = `1/2` then n(S) = ?
What is the probability of the event that a number chosen from 1 to 50 is a prime number?
Which of the following options shows the highest probability?
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`
If three coins are tossed simultaneously, find the probability of the event to get no head
A box contains 5 strawberry chocolates, 6 coffee chocolates, and 2 peppermint chocolates. If one of the chocolates is picked from the box at random, find the probability of the following events by completing the activity.
Event A: it is coffee chocolate.
Activity: Let ‘S’ be the sample space.
∴ n(S) = 5 + 6 + 2 = 13
Event A: it is a coffee chocolate.
∴ n(A) = `square`
∴ P(A) = `square/("n"("S"))` .......[Formula]
P (A) = `square/13`
If One coin and one die are thrown simultaneously, find the probability of the following events.
Event A: To get a tail and an even number
If One coin and one die are thrown simultaneously, find the probability of the following events.
Event B: To get head and an odd number
What is the probability that a leap year has 53 Sundays?
A bag contains 8 red and some blue balls. One ball is drawn at random from the bag. If ratio of probability of getting red ball and blue ball is 2:5, then find the number of blue balls.
In the adjoining figure, the arrow rests on any number, after the rotation of the disc. The probability that it will rest on any of the numbers on the disc is equal. Let A be any random event. To find the probability of A, fill in the boxes.
(1) S = `square`
(2) n(S) = `square`
(3) Let A be the event that arrow points at the number which is perfect cube.
A = `square`
∴ n(A) = `square`
(4) ∴ P(A) = `(n(A))/(n(S)) = square/square = square`
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.
Let A be an event. For event A, which probability cannot be possible?
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
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:
Hundred rupees note
A five digit number is formed by the digits 1, 2, 3, 4, 5 without repetition. If the probability that the number formed is divisible by 4, is P, then 5P is ______.
If six students, including two particular students A and B, stand in a row, then the probability that A and B are separated with one student in between them is ______.
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 two digit number is formed with digits 2, 3, 5, 7, 9 without repetition. What is the probability of the following events?
Event A : The number formed is an odd number.
Event B : The number formed is a multiple of 5.
