Expected Outcomes Worksheet | 7th Grade PDF Worksheets - Free Printable

Let’s solve each question one by one. We’re looking for “expected outcomes” — that means, on average, how many times something should happen based on probability.

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Question 1:
I throw a normal fair dice 180 times. How many times can I expect to get a score of 2?

→ A fair dice has 6 sides: 1, 2, 3, 4, 5, 6.
→ Probability of getting a 2 = 1/6.
→ Expected number = 180 × (1/6) = 30

✔ Match with answer D. 30

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Question 2:
I spin a spinner with four equal sections numbered 10 to 13. How many 13’s can I expect in 900 spins?

→ Sections: 10, 11, 12, 13 → 4 options.
→ Probability of 13 = 1/4.
→ Expected = 900 × (1/4) = 225

✔ Match with answer H. 225

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Question 3:
I toss a coin 3000 times. How many times can I expect to get heads?

→ Coin has 2 sides: heads and tails.
→ Probability of heads = 1/2.
→ Expected = 3000 × (1/2) = 1500

✔ Match with answer E. 1500

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Question 4:
Three out of five of the population wear glasses. How many people would you expect to wear glasses in a village of 10,000 people?

→ Fraction = 3/5.
→ Expected = 10,000 × (3/5) = 6,000

✔ Match with answer G. 6000

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Question 5:
I draw a card from a pack of playing cards and replace it. I do this 130 times. How many times would I expect to get a red Jack?

→ Standard deck = 52 cards.
→ Red Jacks: Jack of Hearts, Jack of Diamonds → 2 red Jacks.
→ Probability = 2/52 = 1/26.
→ Expected = 130 × (1/26) = 5

✔ Match with answer A. 5

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Question 6:
How many times must I toss a coin if I expect to get 45 tails?

→ Probability of tails = 1/2.
→ Let total tosses = x.
→ Then: x × (1/2) = 45 → x = 45 × 2 = 90

✔ Match with answer B. 90

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Question 7:
I catch the train to work 260 days a year. The probability of my train being late is 0.05. How many days will I arrive at work on time in a year?

→ Probability of being ON TIME = 1 - 0.05 = 0.95
→ Expected on-time days = 260 × 0.95
→ Calculate: 260 × 0.95 = 260 × (1 - 0.05) = 260 - (260×0.05) = 260 - 13 = 247

✔ Match with answer F. 247

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Question 8:
I need to buy 120 tickets to expect to have one winning ticket. There are 5 winning tickets available. How many tickets are sold?

→ If buying 120 tickets gives you 1 expected win, then probability of winning per ticket = 1/120.
→ But there are 5 winning tickets total.
→ So: (Number of winning tickets) / (Total tickets) = 1/120
→ 5 / Total = 1/120
→ Total = 5 × 120 = 600

✔ Match with answer C. 600

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Final Answer:
1) D. 30
2) H. 225
3) E. 1500
4) G. 6000
5) A. 5
6) B. 90
7) F. 247
8) C. 600