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प्रश्न
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.
उत्तर
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`.
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संबंधित प्रश्न
Three coins are tossed simultaneously, find S and n(S).
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
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.
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`
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
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 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.
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.
