Question

An integer is choose at random between 1 and 100 .find the probability that is (1) divisible by 8 (2) not divisible by 8.

Answer 1

probability of an event is equals to number of favourable outcomes upon total number of outcomes

probability that the number is divisible by 8 is equals to12/98.............
probability that the number is not divisible by 8 is equals to 1-12/98 =86/98


an important thing to be noticed is that the total number of outcomes in this question will be 98 not hundred because the question is asking the numbers between 1 and hundred therefore 1 and 100 will not be included and rest of the question is as you know so that's all mate hope this helps you please mark me brainliest

Answer 2

$\bold{given : } \\ \\=> \: an \: integer \: is \: chosen \: at \: random \\ \\ =>\:between \: 1 \: to \: 100 \\ \\ \\ \\ \bold{to \: find : } \\ \\ =>\:the \: probabilities \: of \: some \: events \\ \\ \\ \\ \bold{experiment : } \\ \\=>\: a \: no. \: is \: chosen \: at \: random \\ \\ \\ \\ \bold{sample \: space : } \\ \\ =>\:no. \: from \: 1 \: to \: 100 \\ \\ \bold{no. \: of \: sample \: space : } \\ \\ =>\:100 \\ \\ \\ \\ \bold{event \: a : } \\ \\=>\: probability \: of \: getting \: a \: no. \: \\ \\ divisible \: by \: 8 \\ \\ \\ \\ \bold{a = [8\: ,\: 16 \: ,\: 24 \: ,\: 32 \:, \: 40 ,} \\ \\ \: \bold{\: 48 \:, \: 56 \:, \: 64 \:, \: 72 \:, \: 80 \: ,\: 88 \:, \: 96}] \\ \\=>\: no. \: of \: elements \: in \: a \: = \: 12 \\ \\\bold{ =>\:n(a) = 12} \\ \\ \\ \\ \bold{probability \: of \: a = \frac{no. \: of \: elements \: in \: a}{no. \: of \: elements \: in \: s}} \\ \\ =>\:probability \: of \: a \: = \: \frac{12}{100} \\ \\ \bold{=>\:probability \: of \: getting \: a \:} \\ \\\bold{ divisor \: of \: 8 \: is \:\:\red{\:0.12 \: \:or\:\:12\% }}\\ \\ \\ \\ \bold{event \: b : }\\ \\ =>\:not \: getting \: a \: divisor \: of \: 8 \\ \\ \bold{=>\:1 - probability \: of \: getting \: the \: divisor \: of \: 8 }\\ \\ =>\:1 - 0.12 \\ \\ \bold\red{0.88 \:\:or \:\:88 \%}$