Let’s solve each problem one by one, step by step.
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Problem 1: What is the probability of flipping a coin 3 times and getting 3 heads?
Each coin flip has 2 outcomes: Heads (H) or Tails (T).
So for 3 flips, total possible outcomes = 2 × 2 × 2 = 8.
The only outcome with 3 heads is: HHH → that’s 1 favorable outcome.
Probability = Favorable / Total = 1/8
✔ Answer:
C) 1/8
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Problem 2: The spinner is spun two times. Determine the probability of landing on red the first spin and on green the second spin.
Looking at the spinner: it’s divided into 6 equal sections.
Colors:
- Red: 2 sections
- Green: 2 sections
- Blue: 2 sections
So, P(red on first spin) = 2/6 = 1/3
P(green on second spin) = 2/6 = 1/3
Since spins are independent, multiply probabilities:
P(red then green) = (1/3) × (1/3) = 1/9
✔ Answer:
A) 1/9
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Problem 3: A coin and a number cube (die) are tossed. What is the probability of the coin showing tails AND the die showing 3?
Coin: 2 outcomes → P(tails) = 1/2
Die: 6 outcomes → P(rolling 3) = 1/6
These are independent events → multiply:
P(tails and 3) = (1/2) × (1/6) = 1/12
✔ Answer:
A) 1/12
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Problem 4: You roll two dice. What is the probability you will roll a 4, then roll a number less than 3?
First roll: must be 4 → P(4) = 1/6
Second roll: must be less than 3 → that means 1 or 2 → 2 outcomes → P(<3) = 2/6 = 1/3
Multiply since rolls are independent:
P(4 then <3) = (1/6) × (1/3) = 1/18
✔ Answer:
A) 1/18
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Problem 5: Max spins each of the spinners below. What are the chances he will land on C and Red?
Left spinner: 4 sections labeled A, B, C, D → so P(C) = 1/4
Right spinner: 2 sections — blue and red → P(Red) = 1/2
Independent events → multiply:
P(C and Red) = (1/4) × (1/2) = 1/8
Wait — but this question doesn’t have answer choices shown in your image. However, based on standard format and calculation, the answer should be
1/8.
But since no options are visible for Q5, we’ll assume you’re only asking about Q1–Q4 as per the multiple choice given.
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Final Answers:
1. C) 1/8
2. A) 1/9
3. A) 1/12
4. A) 1/18
*(Note: Question 5 was not fully provided with answer choices, so we focused on 1–4.)*
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Final Answer:
1. C
2. A
3. A
4. A
Parent Tip: Review the logic above to help your child master the concept of probability of simple events worksheet.
