Advertisements
Advertisements
प्रश्न
The probability that a car being filled with petrol will also need an oil change is 0.30; the probability that it needs a new oil filter is 0.40; and the probability that both the oil and filter need changing is 0.15. If the oil had to be changed, what is the probability that a new oil filter is needed?
Advertisements
उत्तर
Let A be the event of changing oil, B be the event of changing oil filter.
Given P(A) = 0.30
P(B) = 0.40
P(A ∩ B) = 0.15
Probability of new oil filter B needed when the oil A changed is
P(B/A) = `("P"("B" ∪ "A"))/("P"("A"))`
= `0.15/0.30`
= `15/30`
= `1/2`
= 0.5
APPEARS IN
संबंधित प्रश्न
In a game, a man wins Rs 5 for getting a number greater than 4 and loses Rs 1 otherwise, when a fair die is thrown. The man decided to thrown a die thrice but to quit as and when he gets a number greater than 4. Find the expected value of the amount he wins/loses
A bag X contains 4 white balls and 2 black balls, while another bag Y contains 3 white balls and 3 black balls. Two balls are drawn (without replacement) at random from one of the bags and were found to be one white and one black. Find the probability that the balls were drawn from bag Y.
Determine P(E|F).
Two coins are tossed once, where
E: no tail appears, F: no head appears
A fair die is rolled. Consider events E = {1, 3, 5}, F = {2, 3} and G = {2, 3, 4, 5} Find P ((E ∪ F)|G) and P ((E ∩ G)|G)
If P(A) = `1/2`, P(B) = 0, then P(A|B) is ______.
Two balls are drawn at random with replacement from a box containing 10 black and 8 red balls. Find the probability that
- both balls are red.
- first ball is black and second is red.
- one of them is black and other is red.
If a leap year is selected at random, what is the chance that it will contain 53 Tuesdays?
A die is thrown again and again until three sixes are obtained. Find the probability of obtaining the third six in the sixth throw of the die.
Three cards are drawn at random (without replacement) from a well-shuffled pack of 52 playing cards. Find the probability distribution of the number of red cards. Hence, find the mean of the distribution.
Select the correct option from the given alternatives :
Bag I contains 3 red and 4 black balls while another Bag II contains 5 red and 6 black balls. One ball is drawn at random from one of the bags and it is found to be red. The probability that it was drawn from Bag II
If X denotes the number of ones in five consecutive throws of a dice, then P(X = 4) is ______
Two dice are thrown. Find the probability that the sum of numbers appearing is more than 11, is ______.
If P(A) = `1/2`, P(B) = 0, then `P(A/B)` is
If A and B are two events such that P(A) = `1/3`, P(B) = `1/5` and P(A ∪ B) = `1/2`, then P(A|B') + P(B|A') is equal to ______.
Let A, B be two events such that the probability of A is `3/10` and conditional probability of A given B is `1/2`. The probability that exactly one of the events A or B happen equals.
If A and B are two independent events such that P(A) = `1/3` and P(B) = `1/4`, then `P(B^'/A)` is ______.
A family has two children, with b for boy and g for girl. Which sample space lists all four equally likely ordered outcomes?
Which conditional probabilities are equal to 1 when \[P(F)\neq 0\]?
If A and B are any two events of S and \[P(F)\neq 0\], which formula is correct?
