Advertisements
Advertisements
प्रश्न
What is the probability of the event that a number chosen from 1 to 50 is a prime number?
पर्याय
`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
Two-digit numbers are formed from the digits 0,1,2,3,4 where digits are not repeated. Find the probability of the events that:
(a) The number formed is an even number.
(b) The number formed 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`
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`
If one die is rolled, then find the probability of event that the number on the upper face is greater than 6?
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 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.
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
A box contains 36 cards, bearing only one number from 1 to 36 on each. If one card is drawn at random, find the probability of an event that the card drawn bears, a complete square number
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
A bag contains 8 red balls and some blue balls. If one ball is drawn randomly the probability of drawing a red ball to a blue ball are in the ratio 5 : 2, determine the probability of drawing a blue ball from 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.
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 coin is tossed twice and the four possible outcomes are assumed to be equally likely. If A is the event, 'both head and tail have appeared' and B the event,' at most one tail is observed,' then the value of P(B/A) is ______.
From a group of 10 men and 5 women, four member committees are to be formed each of which must contain at least one woman. Then the probability for these committees to have more women than men is ______.
One coin and a die are thrown simultaneously. Find the probability of the following event:
Event A: To get a head and a prime number.