MCQ
જો $g(f(x)) = |\sin x|$ અને $f(g(x)) = {(\sin \sqrt x )^2}$, તો
- ✓$f(x) = {\sin ^2}x,\;g(x) = \sqrt x $
- B$f(x) = \sin x,\;g(x) = |x|$
- C$f(x) = {x^2},\;g(x) = \sin \sqrt x $
- D$f$ અને $g$ એ વ્યાખ્યાયિત નથી
Considering $f(x) = {\sin ^2}x,\,\,g(x) = \sqrt x ,$ then
$g\,[f(x)] = g\,({\sin ^2}x) = \sqrt {{{\sin }^2}x} = \,\,|\sin x|$
$f[g(x)] = f[\sqrt {x]} = {(\sin \sqrt x )^2}$.
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$E_1$ : Six fair dice are rolled and at least one die shows six.
$E_2$ : Twelve fair dice are rolled and at least two dice show six.
Let $p_1$ be the probability of $E_1$ and $p_2$ be the probability of $E_2$. Which of the following is true?