Chapter 13.10, Problem 3CYU

To determine

The probability of randomly choosing a Macintosh and then a granny smith.

Answer to Problem 3CYU

The probability of randomly choosing a Macintosh and then a granny smithis $\frac{7}{80}$

Explanation of Solution

Given:

Red apples: $6$

Granny apples: $7$

Macintosh apples: $3$

Calculation:

Fraction Form:

The probability of getting Macintosh and then a Granny smith in the fraction form is given as

P (Macintosh) = $\frac{3}{16}$ ,

Here Macintosh apple are $3$ and total number of apples are $16$

P (Granny Smith) = $\frac{7}{15}$ ,

Here number of granny smith apples after $1$ Macintosh apple is removed is $7$ and total number of apples after $1$ Macintosh apple is removed is $15$

P (Macintosh and then a granny smith) = P (Macintosh) * P (Granny Smith)

  $\begin{array}{l}=\frac{3}{16}\times \frac{7}{15}\\ =\left(\frac{3.7}{16.15}\right)\\ =\frac{21}{240}=\frac{7}{80}\end{array}$

Conclusion:

Hence, P (Macintosh and then a granny smith) = $\frac{7}{80}$