If P(A)=0.8, P(B)=0.5 and P(B|A)=0.4, find: P(A|B) - Vidyadip

Question

$\text{If}\ \text{P}(\text{A})=0.8,\ \text{P}(\text{B})=0.5\ \text{and}\ \text{P}(\text{B}|\text{A})=0.4,\ \text{find}:$
$ \text{P}(\text{A}|\text{B})$

✓

Answer

$\text{P}\left(\text{A}|\text {B}\right)=\frac{\text{P}\left(\text{A}\cap\text{B}\right)}{\text{P}\left(\text{B}\right)}=\frac{0.32}{0.50}=\frac{32}{50}=0.64$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "1 Marks" from Probability→Probability — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

A trust invested some money in two type of bonds. The first bond pays 10% interest and second bond pays 12% interest. The trust received ₹ 2800 as interest. However, if trust had interchanged money in bonds, they would have got ₹ 100 less as interest. Using matrix method, find the amount invested by the trust.

Find the integral: $\int \frac{x+2}{2 x^{2}+6 x+5} d x$

If A is a square matrix such that A² = A, then write the value of 7A – (I + A)³, where I is an identity matrix.

Find the value of $\int \frac{x d x}{\left(1-x^2\right)^{3 / 2}}$ :

Find the shortest distance of the point (0, c) from the parabola y = x², where $\frac{1}{2} \leq c \leq 5$.

Integrate the function $\frac{x^{3}}{\sqrt{1-x^{8}}}$

Differentiate the following w.r.t.x: $\text{e}^{\sin^{-1}\text{x}}$

Find the direction cosines of Y-axis.

$\int\frac{\text{dx}}{\sqrt{9-4\text{x}^2}}$

If $\begin{pmatrix} 2 & 3 \\ 5 & 7 \\ \end{pmatrix}\begin{pmatrix} 1 & -3 \\ -2 & 4 \\ \end{pmatrix}=\begin{pmatrix} -4 & 6 \\ -9 & x \\ \end{pmatrix}\text{ write the value of x.}$