Answer:
0.7
Explanation:
First, calculate the total number of jelly beans in the box.
[tex]Total=16+10+12+14+8=60[/tex]
Ryan does not like licorice or lime.
[tex]Licorice+Lime=10+8=18[/tex]
Thus, the number of jellybeans in flavors he likes will be:
[tex]60-18=42[/tex]
Thus, the probability that he will pick a jelly bean from the full box that has a flavor he does like:
[tex]\begin{gathered} P(he\text{ picks a flavor he likes\rparen}=\frac{42}{60} \\ =\frac{6\times7}{6\times10} \\ =\frac{7}{10} \\ =0.7 \end{gathered}[/tex]
The probability is 0.7.
