https://file.aiquickdraw.com/mathbot/file/17255864472204m33gx5a.jpg

The image shows two probability questions, and here is a breakdown of each one:

---

**Question 5:**
"Shannon has a bag of jelly beans: 5 Green, 2 Red, 3 Blue. What is the theoretical probability of her selecting a red jelly bean?"

1. The total number of jelly beans is \( 5 + 2 + 3 = 10 \).
2. The number of red jelly beans is 2.
3. The theoretical probability of selecting a red jelly bean is:
\[
P(\text{Red}) = \frac{\text{Number of Red jelly beans}}{\text{Total number of jelly beans}} = \frac{2}{10} = \frac{1}{5}.
\]
So, the correct answer is \( \frac{1}{5} \).

---

**Question 6:**
"Jason rolls a die 4 times. What is the theoretical probability that he will roll a 1 or a 6?"

1. The probability of rolling a 1 or a 6 on a single die is:
\[
P(1 \text{ or } 6) = \frac{2}{6} = \frac{1}{3}.
\]
2. Since the event is independent and happens over 4 rolls, the probability for each roll remains \( \frac{1}{3} \).

If they are asking for the probability across 4 rolls, it may depend on the question's specifics. However, for just one roll, it is \( \frac{1}{3} \).

---

Would you like more details or explanations on these problems? Here are 5 related questions:

1. How do you calculate probabilities in cases of dependent events?
2. What is the probability of not picking a red jelly bean from the same bag?
3. How does the theoretical probability differ from experimental probability?
4. What is the probability of rolling a die 3 times and getting a 1 at least once?
5. How would the probability change if more jelly beans were added to the bag?

**Tip:** Always simplify fractions in probability to their lowest terms to avoid errors!

Shannon has a bag of jelly beans: 5 Green, 2 Red, 3 Blue. What is the theoretical probability of her selecting a red jelly bean? Jason rolls a die 4 times. What is the theoretical probability that he will roll a 1 or a 6?

Explore how to calculate the theoretical probability of selecting a red jelly bean from a bag containing 5 Green, 2 Red, and 3 Blue jelly beans. Learn the probability of rolling a 1 or a 6 on a die when rolling it 4 times. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation