# $10 \%$ of the population in a town is $\mathrm{HIV}^{+}$. A new diagnostic kit for HIV detection is available; this kit correctly identifies HIV $^{+}$ individuals $95 \%$ of the time, and HIV ' individuals $89 \%$ of the time. A particular patient is tested using this kit and is found to be positive. The probability that the individual is actually positive is

## Question ID - 156345 :- $10 \%$ of the population in a town is $\mathrm{HIV}^{+}$. A new diagnostic kit for HIV detection is available; this kit correctly identifies HIV $^{+}$ individuals $95 \%$ of the time, and HIV ' individuals $89 \%$ of the time. A particular patient is tested using this kit and is found to be positive. The probability that the individual is actually positive is

3537

0.48-0.49

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A fair (unbiased) coin was tossed four times in succession and resulted in the following outcomes: (i) Head, (ii) Head,(iii) Head, (iv) Head. The probability of obtaining a 'Tail' when the coin is tossed again is
(A) 0
(B) $\frac{1}{2}$
(C) $\frac{4}{5}$
(D) $\frac{1}{5}$