On one page of a telephone directory, there were 200 telephone numbers. The frequency distribution of their unit place digit (for example, in the number 25828573, the unit place digit is 3) is given in the table below: `D igi t :` `0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `F r e q u e n c y` `22` `26` `22` `22` `20` `10` `14` `28` `16` `20` A number is chosen at random, find the probability that the digit at its units place is: 6 (ii) a non-zero multiple of 3 a non-zero even number (iv) an odd number

Explanation

Total number of telephone numbers=`200`
(i)P(digit at its units place is 6)=`14/200=7/100=0.07`
(ii)P(digit at its units place is a non-zero multiple of 3)=`(22+14+20)/200=56/200=0.28`
(iii)P(digit at its units place is a non-zero even number)=`(22+20+14+16)/200=72/200=0.36`
(iv)P(digit at its units place is an odd number)=`(26+22+10+28+20)/200=106/200=0.53`