Advertisements
Advertisements
Question
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.
Solution
One coin and a die are thrown simultaneously.
Sample space,
S = {(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)}
∴ n(S) = 12
Event B: To get a tail and an odd number.
∴ B = {(T, 1), (T, 3), (T, 5)}
∴ n(B) = 3
∴ P(B) = `("n"("B"))/("n"("S"))`
∴ P(B) = `3/12`
∴ P(B) = `1/4`
∴ The probability of event B is `1/4`.
APPEARS IN
RELATED QUESTIONS
Three coins are tossed simultaneously, find S and n(S).
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.
Choose the correct alternative answer for the following question and write the alphabet.
Which of the following number cannot represent a 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`
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 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 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 prime number
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`
