Let’s solve each question one by one with clear explanations.
---
Question 1:
> You draw a marble from a bag that has red, blue, and green marbles, you also flip a fair coin. What is the probability you will draw a blue marble and flip a heads?
✔ Assumption: Since the bag has
red, blue, and green marbles, and no quantities are given, we assume there is
one of each — so 3 total marbles. That means:
- P(blue marble) = 1/3
- P(heads on a fair coin) = 1/2
These are
independent events, so we multiply the probabilities:
>
P(blue AND heads) = (1/3) × (1/2) = 1/6
✔ Correct Answer:
C. 1/6
---
Question 2:
> The daily special at the House of Pies offers one of three featured pies and your choice of coffee, tea, milk or juice. How many ways can you order the special?
This is a
fundamental counting principle problem.
- Number of pie choices:
3
- Number of drink choices:
4 (coffee, tea, milk, juice)
Total combinations = 3 × 4 =
12
✔ Correct Answer:
D. 12
---
Question 3:
> A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3?
- P(tails) = 1/2
- P(rolling a 3 on a fair die) = 1/6
Independent events → multiply:
>
P(tails AND 3) = (1/2) × (1/6) = 1/12
✔ Correct Answer:
C. 1/12
---
Question 4:
> What is the probability that you will get plain crust with ham on your pizza?
Looking at the diagram:
-
Plain crust options: onions, olives,
ham, green peppers, mushrooms →
5 toppings
-
Sesame crust options: onions, olives,
ham, green peppers, mushrooms →
5 toppings
So total possible pizza combinations = 5 (plain) + 5 (sesame) =
10
We want:
plain crust WITH ham → only
1 specific combination
> P(plain crust with ham) = 1 / 10
✔ Correct Answer:
D. 1/10
*(Note: Some might misread and think “ham” appears twice — but the question asks for “plain crust with ham”, which is only one option.)*
---
Question 5:
> If you flip three fair coins, what is the probability that you’ll get all three heads?
Each coin flip is independent.
- P(heads on one coin) = 1/2
- P(all three heads) = (1/2) × (1/2) × (1/2) =
1/8
✔ Correct Answer:
B. 1/8
*(Note: This question doesn’t have answer choices shown in the image, but based on standard multiple-choice setups, it would be B. 1/8)*
---
##
✔ Final Answers:
1.
C. 1/6
2.
D. 12
3.
C. 1/12
4.
D. 1/10
5.
B. 1/8
Let me know if you’d like to see tree diagrams or sample spaces for any of these!
Parent Tip: Review the logic above to help your child master the concept of overlapping events of probability worksheet with answers.
