Question

math probability helpppppppppp

Answer 1

$\huge \color{red} \boxed{\colorbox{pink}{Answer}}$

$Area\:of\: circular\: dartboard\:=\:πr²$

$Area\:of\: circular\: dartboard\:=\:22/7\:×\:5\:×5\:\:\:\:\:\:\:\:\:\:(since\: diameter\:is\:10\:so\:radius\:half\:it\:i.e\:5cm)$

$Area\:of\: circular\: dartboard\:=\:22/7\:×\:25$

$Area\:of\: circular\: dartboard\:=\:550/7$

$Area\:of\: circular\: dartboard\:=\:78.57cm²$

$Now,$

$Area\:of\:small\:circle\:=\:πr²$

$Area\:of\:small\:circle\:=\:22/7\:×\:1\:1$

$Area\:of\:small\:circle\:=\:22/7cm²\:or\:3.14cm²$

$Now,$

$Area\:of\: square\:=\:side²$

$Area\:of\: square\:=\:2²$

$Area\:of\: square\:=\:4cm²$

$\Large\fcolorbox{aqua}{red}{a}$ $E(hit\: square\:)=\: favourable\: chances/total\:no.\:of\: Chances$

$E\:=\:4/78.57+3.14$

$E\:=\:4/81.71\:=>0.04$

$\Large\fcolorbox{aqua}{red}{b}$ $E(neither\:hits\:square\:nor\:small\:circle\:)=\: favourable\: chances/total\:no.\:of\: Chances$

$E\:=\:78.57\:-\:(7.14)/78.57$

$E\:=\:71.43/78.57$

$E\:=\:0.9$