Chapter 10.6, Problem 38IP

To determine

To find: The number of orange mango drinks.

Answer to Problem 38IP

Number of orange mango drinks $=16.$

Explanation of Solution

Given Information:Given a bucket of ice at a picnic contains $24$ juice drinks. The probability of choosing a drink at random and choosing a orange mango drink is $\frac{2}{3}$ .

Probability (event) = $\frac{\text{number}\text{of}\text{favourable}\text{outcomes}}{\text{Total}\text{no}\text{.}\text{of}\text{possible}\text{outcomes}}$

Given that probability (orange mango drink) = $\frac{2}{3}$ .

Therefore $\frac{\text{no}\text{.}\text{of}\text{orange}\text{mango}\text{drink}}{\text{24}}=\frac{2}{3}$ .

Cost no. of orange mango drinks = x

Then $\begin{array}{l}\frac{x}{24}=\frac{2}{3}\\ 3x=48\\ x=\frac{48}{3}=16\end{array}$

Therefore orange mango drinks $=16$ .