Advertisements
Advertisements
प्रश्न
One bag contains 5 white and 3 black balls. Another bag contains 4 white and 6 black balls. If one ball is drawn from each bag, find the probability that one white and one black
Advertisements
उत्तर
First Bag contains 5 white and 3 black balls
Total number of balls in the first bag 8 Second Bag contains 4 white and 6 black halls
Total number of balls in the second bag = 10
One ball is drawn from each bag.
P(getting one white and one black) = P( getting one white from the first bag or one white from the second bag) + P(getting one black from the first bag or one black from the second bag)
= `((""^5"C"_1)/(""^8"C"_1) xx (""^6"C"_1)/(""^10"C"_1)) + ((""^4"C"_1)/(""^10"C"_1) xx (""^3"C"_1)/(""^8"C"_1))`
= `(5/8 xx 6/10) + (4/10 xx 3/8)`
= `3/8 + 3/20`
= `(15 + 6)/40`
= `21/40`
APPEARS IN
संबंधित प्रश्न
A fair coin is tossed five times. Find the probability that it shows exactly three times head.
If P(A) = 0.8, P(B) = 0.5 and P(B|A) = 0.4, find P(A ∪ B)
A black and a red dice are rolled.
Find the conditional probability of obtaining the sum 8, given that the red die resulted in a number less than 4.
A fair die is rolled. Consider events E = {1, 3, 5}, F = {2, 3} and G = {2, 3, 4, 5} Find P (E|G) and P (G|E)
If a leap year is selected at random, what is the chance that it will contain 53 Tuesdays?
A card is drawn from a well-shuffled pack of playing cards. What is the probability that it is either a spade or an ace or both?
In a college, 70% of students pass in Physics, 75% pass in Mathematics and 10% of students fail in both. One student is chosen at random. What is the probability that:
(i) He passes in Physics and Mathematics?
(ii) He passes in Mathematics given that he passes in Physics.
(iii) He passes in Physics given that he passes in Mathematics.
An urn contains 4 black, 5 white, and 6 red balls. Two balls are drawn one after the other without replacement, What is the probability that at least one ball is black?
From a pack of well-shuffled cards, two cards are drawn at random. Find the probability that both the cards are diamonds when first card drawn is kept aside
If for two events A and B, P(A) = `3/4`, P(B) = `2/5` and A ∪ B = S (sample space), find the conditional probability P(A/B)
Given P(A) = 0.4 and P(A ∪ B) = 0.7 Find P(B) if A and B are independent events
Given P(A) = 0.4 and P(A ∪ B) = 0.7 Find P(B) if P(A/B) = 0.4
Choose the correct alternative:
Let A and B be two events such that `"P"(bar ("A" ∪ "B")) = 1/6, "P"("A" ∩ "B") = 1/4` and `"P"(bar"A") = 1/4`. Then the events A and B are
Choose the correct alternative:
If two events A and B are independent such that P(A) = 0.35 and P(A ∪ B) = 0.6, then P(B) is
A die is thrown nine times. If getting an odd number is considered as a success, then the probability of three successes is ______
If P(A ∩ B) = `7/10` and P(B) = `17/20`, then P(A|B) equals ______.
If A and B are events and \[P(A) \neq 0\], which expression gives \[P(B \mid A)\]?
Which statement is the multiplication rule for two events A and B?
Which conditional probabilities are equal to 1 when \[P(F)\neq 0\]?
