Download App

Probability — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsProbability1 Mark
Question
$\text{If}\ \text{P}(\text{A})=\frac{6}{11},\ \text{P}(\text{B})=\frac{5}{11}\ \text{and}\ \text{P}(\text{A}\cup\text{B})=\frac{7}{11},$find
$\text{P}(\text{B}|\text{A})$
✓

Answer

$\text{P}\left(\text{B}|\text{A}\right)= \frac{\text{P}\left(\text{A}\cap\text{B}\right)}{\text{P}\left(\text{A}\right)}=\frac{\frac{4}{11}}{\frac{6}{11}}=\frac{4}{6}=\frac{2}{3}$

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 Question" 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

Evaluate the definite integral $\int_{0}^{\frac{\pi}{2}} \frac{\cos ^{2} x d x}{\cos ^{2} x+4 \sin ^{2} x}$
→
Let A be a non-singular square matrix of order 3 $\times$ 3. Then |adj A| is equal to
→
Find the integral: $\int \frac{1}{1+\tan x} d x$
→
Find the direction cosines of the following vector:$6\hat{\text{i}}-2\hat{\text{j}}-3\hat{\text{k}}$
→
For what value of λ is the function defined by $f(x)=\left\{\begin{array}{ll} {\lambda\left(x^{2}-2 x\right),} & {\text { if } x \leq 0} \\ {4 x+1,} & {\text { if } x>0} \end{array}\right.$ continuous at x = 0? What about continuity at x = 1?
→
Let R be a relation on the set A of ordered pairs of positive integers defined by
(x, y) R (u, v) if and only if xv = yu.
Show that R is an equivalence relation.
→
One card is drawn at random from a well shuffled deck of 52 cards.
In which of the following cases are the events E and F independent?
E: the card drawn is a spade
F: the card drawn is an ace
→
Classify the $40^\circ$ measure as scalar and vector.
→
Evaluate the definite integral $\int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \frac{\sin x+\cos x}{\sqrt{\sin 2 x}} d x$
→
Consider the experiment of tossing a coin. If the coin shows head, toss it again, but if it shows tail, then throw a die. Find the conditional probability of the event that the die shows a number greater than 4, given that there is atleast one tail.
→