Cards marked with numbers $3, 4, 5, . . . . . .50,$ are placed in a box and mixed through One card is drawn at random from the box. Find the probability that the number on the card is
(i) divisible by $6.$
(ii) a single digit number.

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Solution

There are 48 cards numbered 3,4,5,........,50
are placed in a box.
Total no. of outcomes = 48
(i) There are 8 numbers divisible by 6.
6,12,18,24,30,36,42,48
No. of favourable outcomes = 8.
probability = $\frac{N u m b e r o f f a v o u r a b l e o u t c o m e s}{T o t a l n u m b e r o f o u t c o m e s}$
$= \frac{8}{48} = \frac{1}{6}$
P(divisible by 6)= $\frac{1}{6}$
(ii) a single digit number
There are 7 single digit number
3,4,5,6,7,8,9
No. of favourable outcomes = 7.
probability = $\frac{N u m b e r o f f a v o u r a b l e o u t c o m e s}{T o t a l n u m b e r o f o u t c o m e s}$
$= \frac{7}{48}$

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Cards marked with numbers 3,4,5,......50, are placed in a box and mixed through One card is drawn at random from the box. Find the probability that the number on the card is (i) divisible by 6.(ii) a single digit number.

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