Advertisements
Advertisements
प्रश्न
What is the probability of the event that a number chosen from 1 to 50 is a prime number?
विकल्प
`3/10`
`1/2`
`1/4`
`3/25`
उत्तर
`3/10`
Explanation:
S = {1, 2, ..... , 50}
∴ n(S) = 50
Let A be the event of getting a prime number.
∴ A = {2, 3, 5, 7, 11, 13, 17 ,19, 23, 29, 31, 37, 41, 43, 47}
∴ n(A) = 15
∴ P(A) = `("n"("A"))/("n"("S")) = 15/50 = 3/10`
APPEARS IN
संबंधित प्रश्न
A bag contains 3 red, 3 white, 3 green, and 3 black balls. One ball is picked up from the bag at random. What is the probability that the ball drawn is:
a. white
b. not white.
If three coins are tossed simultaneously, find the probability of the event to get no head
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
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`
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.
Activity : Let ‘S’ is the sample space.
∴ n(S) = 5 + 6 + 2 = 13
Event B: it is a peppermint chocolate.
∴ n(B) = `square`
∴ P(B) = `square/("n"("S"))` .......[Formula]
P(B) = `square/13`
If two dice are rolled simultaneously, find the probability of the following events.
Event B: The sum of the digits on the upper faces is 33
If three coins are tossed simultaneously, find the probability of the following events.
Event B: To get at least two heads.
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
A missing helicopter is reported to have crashed somewhere in the rectangular region shown in the figure. What is the probability that it crashed inside the lake shown in the figure?
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 A: The number formed is even.
Let A be an event. For event A, which probability cannot be possible?
The probability that a relation R from {x, y} to {x, y} is both symmetric and transitive, is equal to ______.
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 ______.
Let A and B be two events such that the probability that exactly one of them occurs is `2/5` and the probability that A or B occurs is `1/2`, then the probability of both of them occur together is ______.
One coin and a die are thrown simultaneously. Find the probability of the following event:
Event B: To get a tail and an odd number.
