Recent questions tagged conditional-probability

$10\%$ of the population in a town is HIV+. A new diagnostic kit for HIV detection is available; this kit correctly identifies HIV+ individuals 95% of the time, and HIV i...

If an unbiased coin is tossed $10$ times, the probability that all outcomes are same will be_______ $ \times 10^{-5}$

In a factory, two machines $M1$ and $M2$ manufacture $60\%$ and $40\%$ of the autocomponents respectively. Out of the total production $2\%$ of $M1$ and $3\%$ of $M2$ are...

An automobile plant contracted to buy shock absorbers from two suppliers $X$ and $Y$. $X$ supplies $60\%$ and $Y$ supplies $40 \%$ of the shock absorbers. All shock absor...

Consider an unfair coin. The probability of getting heads is $0.6$. If you toss this coin twice, what is the probability that the fast or the second toss is heads?$0.56$$...