A basket contains 5 apples and 7 oranges and | vedclass

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

Question

(C) Let $B_1$ be the first basket and $B_2$ be the second basket. In $B_1$,total fruits = $5 + 7 = 12$. Probability of picking an apple from $B_1$,$P(

Vedclass · Accepted Answer

$\frac{17}{36}$

Vedclass · Answer

(C) Let $B_1$ be the first basket and $B_2$ be the second basket. In $B_1$,total fruits = $5 + 7 = 12$. Probability of picking an apple from $B_1$,$P(A_1) = \frac{5}{12}$. Probability of picking an orange from $B_1$,$P(O_1) = \frac{7}{12}$. In $B_2$,total fruits = $4 + 8 = 12$. Probability of picking an apple from $B_2$,$P(A_2) = \frac{4}{12} = \frac{1}{3}$. Probability of picking an orange from $B_2$,$P(O_2) = \frac{8}{12} = \frac{2}{3}$. We want one apple and one orange. This can happen in two mutually exclusive ways: $1$. Apple from $B_1$ and Orange from $B_2$: $P(A_1) 	imes P(O_2) = \frac{5}{12} 	imes \frac{2}{3} = \frac{10}{36}$. $2$. Orange from $B_1$ and Apple from $B_2$: $P(O_1) 	imes P(A_2) = \frac{7}{12} 	imes \frac{1}{3} = \frac{7}{36}$. Total probability = $\frac{10}{36} + \frac{7}{36} = \frac{17}{36}$.

$A$ basket contains $5$ apples and $7$ oranges and another basket contains $4$ apples and $8$ oranges. If one fruit is picked out at random from each basket,then the probability of getting one apple and one orange is

Similar Questions

From a pack of $52$ cards,two cards are drawn one by one without replacement. The probability that the first drawn card is a king and the second is a queen,is

$A$ and $B$ are independent events. Their probabilities are $3/10$ and $2/5$ respectively. What is the probability that exactly one of the events occurs?

$A$ bag contains $19$ tickets numbered from $1$ to $19$. $A$ ticket is drawn and then another ticket is drawn without replacement. The probability that both the tickets will show an even number is:

Three cards are drawn successively,without replacement from a pack of $52$ well-shuffled cards. What is the probability that the first two cards are kings and the third card drawn is an ace?

$A$ woman has $10$ keys,out of which only one opens a lock. She tries the keys one after another (keeping aside the failed ones) until she succeeds in opening the lock. What is the probability that the seventh key works?

Vedclass Test Series

Exam Paper Generator

Online Exam Module