48 ice-creams are placed on a table. Some are chocolate flavoured and others are vanilla flavoured. If I take an ice-cream at random from the table, the probability that it is chocolate flavoured is 2/3. Find the number of vanilla flavoured ice-creams on the table.

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Solution

We know that the probability of picking a chocolate flavoured ice-cream will be $\frac{N u m b e r o f f a v o u r a b l e o u t c o m e s (c h o c o l a t e f l a v o u r e d i c e c r e a m s)}{T o t a l n u m b e r o f i c e - c r e a m s}$

Let the number of chocolate flavoured ice-creams be $x$ .

= $\frac{x}{48}$ = $\frac{2}{3}$

Solving for $x$ we get 32 .

It implies that there are 32 chocolate flavoured ice-creams out of a total of 48.

Hence number of Vanilla flavoured ice-creams on the table are 48 - 32 = 16

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