Q.1.cards with two digit numbers are placed in a box and mixed wellfin

1.	Q.1.cards with two digit numbers are placed in a box and mixed wellfind the probablity is getting. 1. a multiple of 6 ? 2. a number with some digits ?
Answer» $Two \:digit \: numbers \: are \: 10,11,12,\cdot\cdot\cdot \\98,99$ $Total \:cards \: in \:the \:box \\= 99 - 10 + 1 \\= 90$ $Number \:of \\ total \: possible \: outcomes = 90 \: --(1)$ $multiples \:of \: 6 \:in \: the \\box = { 12,18,24, \cdot \cdot \cdot , 96 }[tex] Number \:of \: multiples \:of \: 6 \:in \: the \\box = 15$ $Number \:of \: favourable \: outcomes = 15 \:--(2)$ $P(a \: multiple \:of \:6) = \frac{(2)}{(1)} \\= \frac{15}{90} \\= \frac{1}{6}$ THEREFORE., $\red {P(a \: multiple \:of \:6)}\green {= \frac{1}{6}}$ •••♪