List of top Mathematics Questions on Conditional Probability asked in AP EAPCET

Two balls are drawn at random from a box containing 4 white and 6 black balls one after the other without replacement. If it is known that the second ball drawn is black, then the probability that the first ball drawn is also black is

If it is known that a woman has two children and she has at least one girl child, then the probability that both children are girls is

In a sample space, \(E\) is an event associated with the events \(A\) and \(B\). If \[ P(A|E)=l \] and \[ P(E|B)=m, \] then \(P(B|E)\) is

An unbiased coin is tossed \(3\) times. If the third toss gets head, then the probability of getting at least one more head is

Two persons \(P\) and \(Q\) are considering to apply for a job. The probability that \(P\) applies for the job is \(1/4\), the probability that \(P\) applies for the job given that \(Q\) applies for the job is \(1/2\), and the probability that \(Q\) applies for the job given that \(P\) applies for the job is \(1/3\). Then the probability that \(P\) does not apply for the job given that \(Q\) does not apply for the job is

If \(E\) and \(F\) are events such that \[ P(\overline{F})=0.7 \] and \[ P(E\cap F)=0.2, \] then \[ P(E|F)= \] is

If \(A\) and \(B\) are two events such that \[ P(B)\neq0 \quad \text{and} \quad P(\overline{B})\neq1, \] then \[ P(\overline{A}\mid \overline{B}) = \]