The probability that a teacher will give an u | vedclass

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

Question

(D) Let $P(T)$ be the probability of a test occurring in a class, $P(T) = 1/5$.Let $P(T')$ be the probability of no test occurring, $P(T') = 1 - 1/5 =

Vedclass · Accepted Answer

$9/25$

Vedclass · Answer

(D) Let $P(T)$ be the probability of a test occurring in a class, $P(T) = 1/5$.Let $P(T')$ be the probability of no test occurring, $P(T') = 1 - 1/5 = 4/5$.The student is absent for $2$ classes. The student misses at least one test if a test occurs in the first class, the second class, or both.It is easier to calculate the complement: the probability that the student misses no tests.The student misses no tests if no test occurs in either of the $2$ classes.$P(	ext{misses no tests}) = P(T') 	imes P(T') = (4/5) 	imes (4/5) = 16/25$.Therefore, the probability that the student misses at least one test is $1 - P(	ext{misses no tests}) = 1 - 16/25 = 9/25$.

The probability that a teacher will give an unannounced test during any class meeting is $1/5$. If a student is absent twice, then the probability that the student will miss at least one test is

Similar Questions

If letters of the word $PENCIL$ are arranged in random order,what is the probability that $N$ is always next to $E$?

Let $0 < P(A) < 1$,$0 < P(B) < 1$ and $P(A \cup B) = P(A) + P(B) - P(A)P(B).$ Then

$A$ bag contains $5$ white,$7$ red,and $8$ black balls. If four balls are drawn one by one without replacement,what is the probability that all are white?

Two dice are thrown simultaneously. What is the probability of obtaining a multiple of $2$ on one of them and a multiple of $3$ on the other?

Three dice are thrown. Find the chance of getting a sum of $16$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module