Advertisements
Advertisements
प्रश्न
If one die is rolled, then find the probability of event that the number on the upper face is greater than 6?
उत्तर
Sample space,
S = {1, 2, 3, 4, 5, 6}
∴ n(S) = 6
Let A be the event that the number on the upper face is greater than 6.
Here, the greatest number is 6.
∴ Event A is an impossible event.
∴ A = { }
∴ n(A) = 0
∴ P(A) = `("n"("A"))/("n"("S"))`
∴ P(A) = `0/6` = 0
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.
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 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
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
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 rupees note. One note is drawn from a handbag. What is the probability of getting:
Hundred rupees note
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`
A man has 3 pairs of white socks and 2 pairs of blue socks kept together in a bag. If he dressed up hurriedly in the dark, the probability that after he has put on a white sock, he will then put on another white sock is `M/n` (`M/n` is in simplest form) then n – M = ______.
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 ______.
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.