Chapter 13.5, Problem 30STP

To determine

To determine probability of given event.

Answer to Problem 30STP

Probability that Victoro picks a green one and then a red one is around 9.78%

Explanation of Solution

Given information:

Red jelly beans = 7

Yellow jelly beans = 11

Green jelly beans = 13

Total jelly beans = 7+11+13=31

Now we shall find the probability that Victoro picks a green jelly,

Total possibilities are 31 and green jelly beans are 13

Hence probability that he pick green is $\frac{13}{31}$

Now the probability that he pick red,

Now total possibilities are 30 as one is already picked by him.

Therefore the probability that he pick red from remaining is $\frac{7}{30}$

Now,

  $\begin{array}{c}\text{P(green,red)=}\frac{13}{31}\cdot \frac{7}{30}=\frac{91}{930}\\ =0.09784\\ \approx 9.78\%\end{array}$

Hence probability that Victoro picks a green one and then a red one is around 9.78%