MCQ
If $2 P(A)=P(B)=\frac{5}{13}$ and $P(A \mid B)=\frac{2}{5}$, then $P ( A \cup B )=$ __________ .
- A$\frac{10}{26}$
- B$\frac{10}{13}$
- ✓$\frac{11}{26}$
- D$\frac{11}{13}$
✓
Answer
Correct option: C.
$\frac{11}{26}$
C
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
$\int {\frac{{{x^2}}}{{\left( {{x^2} + 1} \right)\left( {{x^2} + 4} \right)}}\,} dx$ is equal to
→$\int_{}^{} {\frac{{dx}}{{\tan x + \cot x}}} = $
→The area of the region (in square units) bounded by the curve x2 = 4y, line x = 2 and x-axis is:
→- $1$
- $\frac{2}{3}$
- $\frac{4}{3}$
- $\frac{8}{3}$
Solution set of the inequality $2x + y\, >\, 5$ is $.......$
→Let $f:(2,\,3) \to (0,\,1)$ be defined by $f(x) = x - [x]$ then ${f^{ - 1}}(x)$ equals
→The graph of function $f$ contains the point $P (1, 2)$ and $Q(s, r)$. The equation of the secant line through $P$ and $Q$ is $y = \left( {\frac{{{s^2} + 2s - 3}}{{s - 1}}} \right)$ $x - 1 - s$. The value of $f ‘ (1)$, is
→Let $A = \left[ {\begin{array}{*{20}{c}}1&2\\3&4\end{array}} \right]$ and $B = \left[ {\begin{array}{*{20}{c}}a&0\\0&b\end{array}} \right]\;,a,b \in N$ then
→If A is any square matrix, then which of the following is skew-symmetric?
- A + AT
- A - AT
- AAT
- ATA
The solution of $\frac{{dy}}{{dx}} = {e^x}(\sin x + \cos x)$ is
→An urn contains 10 black and 5 white balls. Two balls are drawn from the urn one after the other without replacement, then the probability that both drawn balls are black, is