Download App

Probability — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsProbability1 Mark
MCQ
Two dice are thrown together. The probability that at least one will show its digit greater than $3$ is:
  • A
    $\frac{1}{4}$
  • ✓
    $\frac{3}{4}$
  • C
    $\frac{1}{2}$
  • D
    $\frac{1}{8}$
✓

Answer

Correct option: B.
$\frac{3}{4}$
When two dice are thrown, there are $(6 \times 6) = 36$ outcomes. The set of all these outcomes is the sample space, given by
$S = (1, 1) , (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)$
$(2, 1) , (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)$
$(3, 1) , (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)$
$(4, 1) , (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)$
$(5, 1) , (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)$
$(6, 1) , (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)$
i.e. $n(S) = 36$
Let $E$ be the event of getting at least one digit greater than $3.$
Then $E = \{(1, 4), (1, 5), (1, 6), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6), (4, 1) , (4, 2), (4, 3), (4, 4), (4, 5),\\ (4, 6),(5, 1) , (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1) , (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) \}$
$\therefore\ \text{n(E)}=27$
Hence, required probability $=\frac{27}{36}=\frac{3}{4}$

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 "M.C.Q (1 Marks)" from Probability→Probability — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

The locus of the point of intersection of perpendicular tangents to the ellipse $\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} = 1$, is
→
Consider the frequency distribution of the given numbersIf the mean is known to be $3$, then the value of $f$ is

Value :

$1$

$2$

$3$

$4$

Freq :

$5$

$4$

$6$

$f$
→
Find median for the following distribution :-
Class                                     Frequency
$10-20$                                  $180$
$20-30$                                  $82$
$30-40$                                  $34$
$40-50$                                  $180$
$50-60$                                  $136$
$60-70$                                  $23$
$70-80$                                  $50$
→
The centre$(s)$ of the circle$(s)$ passing through the points $(0, 0) , (1, 0)$ and touching the circle $x^2 + y^2 = 9$ is/are :
→
The greatest integer which divides the number ${101^{100}} - 1$, is
→
A line $L$ is perpendicular to the line $5x - y = 1$  and the area of the triangle formed by the line $L$ and coordinate axes is $5$. The equation of the line $L$ is
→
The mean of $20$ observations is $12.5$ By error, one observation was noted as $-15$ instead of $15.$ Then the correct mean is $.............$
→
The number of solution of the equation $\tan x + \sec x = 2\cos x$ lying in the interval $(0,2\pi )$ is
→
$\mathop {\lim }\limits_{x \to 1} (1 - x)\tan \left( {\frac{{\pi x}}{2}} \right) = $
→
If $A + B + C = \frac{{3\pi }}{2},$ then $\cos 2A + \cos 2B + \cos 2C = $
→