Question

1. a bag contains flavored lollipops. a lollipop will be randomly selected from the bag.

• 20 lollipops are grape flavored
• 9 lollipops are cherry flavored
• 15 lollipops are watermelon flavored
• 16 lollipops are strawberry flavored

a. what is the sample space of this probability experiment?

b. what is the theoretical probability that the selected lollipop will be watermelon flavored?
write the ratio in its most simplified form.

music playlist contains various genres of songs. a song will be played randomly next.

• 25 songs are rock
• 10 songs are pop
• 5 songs are jazz
• 20 songs are hip - hop

a. what is the sample space of this probability experiment?

b. what is the theoretical probability that the selected song will be pop flavored?
write the ratio in its most simplified form.

i can determine the theoretical probability of events.

Explanation:

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Lollipop Probability Experiment

Step1: Define sample space

The sample space is all possible outcomes of selecting a lollipop, which are the distinct flavors.

Step2: Calculate total lollipops

Sum all lollipop counts: $20 + 9 + 15 + 16 = 60$

Step3: Find watermelon probability

Divide watermelon count by total lollipops, then simplify.
$\frac{15}{60} = \frac{15\div15}{60\div15} = \frac{1}{4}$

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Playlist Probability Experiment

Step1: Define sample space

The sample space is all possible outcomes of selecting a song, which are the distinct genres.

Step2: Calculate total songs

Sum all song counts: $25 + 10 + 5 + 20 = 60$

Step3: Find Pop song probability

Divide Pop song count by total songs, then simplify.
$\frac{10}{60} = \frac{10\div10}{60\div10} = \frac{1}{6}$

Answer:

Lollipop Experiment

a. The sample space is {grape, cherry, watermelon, strawberry}
b. $\frac{1}{4}$

Playlist Experiment

a. The sample space is {Rock, Pop, Jazz, Hip-Hop}
b. $\frac{1}{6}$