Download App

STD 11 - 14. probability — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsSTD 11 - 14. probability1 Mark
MCQ
A problem in Mathematics is given to three students $A, B, C$ and their respective probability of solving the problem is $\frac{1}{2} , \frac{1}{3} $ and $\frac{1}{4}$. Probability that the problem is solved is
  • ✓
    $\frac{3}{4}$
  • B
    $\frac{1}{2}$
  • C
    $\frac{2}{3}$
  • D
    $\frac{1}{3}$
✓

Answer

Correct option: A.
$\frac{3}{4}$
a
(a) Probability problem is not solved by $A = \,1 - \frac{1}{2} = \frac{1}{2}$

Probability problem is not solved by $B = 1 - \frac{1}{3} = \frac{2}{3}$

Probability problem is not solved by $C = 1 - \frac{1}{4} = \frac{3}{4}$

Probability of solving the problem $ = 1 - P$ (not solved by any body)

$\therefore$ $P = 1 - \frac{1}{2}.\,\,\frac{2}{3}.\,\frac{3}{4}\, = \,1 - \frac{1}{4} = \frac{3}{4}$.

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 STD 11 - 14. probability→STD 11 - 14. 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 total number of solution of $sin^4x + cos^4x = sinx\, cosx$ in $[0, 2\pi ]$ is equal to
→
The centre of a circle is $(2, -3)$ and the circumference is $10\pi $. Then the equation of the circle is
→
The remainder when $19^{200}+23^{200}$ is divided by $49$ , is  $.........$.
→
If $p(n): 2n < (1 \times 2 \times 3 \times ... \times n).$ Then the smallest positive integer for which $p(n)$ is true is:
→
If the three consecutive coefficient in the expansion of ${(1 + x)^n}$ are $28, 56$ and $70,$ then the value of $n$ is
→
If $^n{C_r} = 84,{\;^n}{C_{r - 1}} = 36$ and $^n{C_{r + 1}} = 126$, then $n$ equals
→
The number of ways in which ten candidates ${A_1},\;{A_2},\;.......{A_{10}}$ can be ranked such that ${A_1}$ is always above ${A_{10}}$ is
→
If one root of the quadratic equation, $i{x^2} - 2(i + 1)x + (2 - i) = 0$is $2 - i$, then the other root is
→
The real roots of the equation ${x^2} + 5|x| + \,\,4 = 0$ are
→
If $a, b, c, d$ are four distinct numbers chosen from the set $\{1,2,3, \ldots, 9\}$, then the minimum value of $\frac{a}{b}+\frac{c}{d}$ is
→