A box contains 10 mangoes,out of which 4 are | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Total mangoes $= 10$. Good mangoes $= 6$. Rotten mangoes $= 4$.Let $G_1$ be the event that the first mango is good and $G_2$ be the event that the

Vedclass · Accepted Answer

$\frac{5}{18}$

Vedclass · Answer

(C) Total mangoes $= 10$. Good mangoes $= 6$. Rotten mangoes $= 4$.Let $G_1$ be the event that the first mango is good and $G_2$ be the event that the second mango is good.We are given that at least one mango is good. Let $A$ be the event that at least one mango is good.Total ways to select $2$ mangoes from $10$ is $^{10}C_2 = \frac{10 	imes 9}{2} = 45$.Ways to select $2$ rotten mangoes $= ^4C_2 = 6$.Ways to select at least one good mango $= 45 - 6 = 39$.Ways to select $2$ good mangoes $= ^6C_2 = 15$.The probability that both are good given that at least one is good is $\frac{15}{39} = \frac{5}{13}$.Wait,re-evaluating: If one is found to be good,the sample space is restricted to cases where at least one is good. The number of ways to pick at least one good mango is $39$. The number of ways to pick two good mangoes is $15$. Thus,the probability is $\frac{15}{39} = \frac{5}{13}$.

$A$ box contains $10$ mangoes,out of which $4$ are rotten. $2$ mangoes are taken out together. If one of them is found to be good,the probability that the other is also good is

Similar Questions

When two dice are rolled,what is the probability that the sum of the numbers appearing is a multiple of $3$?

$A$ bag contains $13$ white and $7$ black balls. $2$ balls are drawn at random. What is the probability that they are of the same colour?

The probability of an event $A$ happening in one trial is $0.4$. The probability that the event $A$ happens at least once in three independent trials is

$A$ husband and wife appear in an interview for $2$ vacancies in the same post. The probability of husband's selection is $\frac{1}{7}$ and that of wife's is $\frac{1}{5}$. What is the probability that none of them will be selected?

Two dice are tossed. The probability that the total score is a prime number is

Vedclass Test Series

Exam Paper Generator

Online Exam Module