Seven chits are numbered 1 to 7. Three are dr | vedclass

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

Question

(C) Let $X_1, X_2, X_3$ be the numbers on the three chits drawn with replacement. Each $X_i \in \{1, 2, 3, 4, 5, 6, 7\}$.We want the probability that

Vedclass · Accepted Answer

$(\frac{3}{7})^3 - (\frac{2}{7})^3$

Vedclass · Answer

(C) Let $X_1, X_2, X_3$ be the numbers on the three chits drawn with replacement. Each $X_i \in \{1, 2, 3, 4, 5, 6, 7\}$.We want the probability that $\min(X_1, X_2, X_3) = 5$.This is equivalent to the condition that all $X_i \ge 5$ $AND$ at least one $X_i = 5$.$P(\min \ge 5) = P(X_i \ge 5 	ext{ for all } i) = (\frac{3}{7})^3$.$P(\min \ge 6) = P(X_i \ge 6 	ext{ for all } i) = (\frac{2}{7})^3$.$P(\min = 5) = P(\min \ge 5) - P(\min \ge 6) = (\frac{3}{7})^3 - (\frac{2}{7})^3$.

Seven chits are numbered $1$ to $7$. Three are drawn one by one with replacement. The probability that the least number on any selected chit is $5$ is:

Similar Questions

If three distinct numbers are chosen randomly from the first $100$ natural numbers,then the probability that all three of them are divisible by both $2$ and $3$ is

Three squares of a chessboard are chosen at random. The probability that two are of one colour and one is of another colour is:

If three smallest squares are chosen at random on a chess board, then the probability of getting them in such a way that they are all together in a row or in a column is

Out of $15$ players,there are $8$ batsmen and $7$ bowlers. What is the probability of selecting a team of $6$ batsmen and $5$ bowlers?

If a coin is tossed seven times, then the probability of getting exactly three heads such that no two heads occur consecutively is

Vedclass Test Series

Exam Paper Generator

Online Exam Module