Making Predictions and Solutions Using Experimental Data(TEKS.Math.7.6.C)
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Texas 7th Grade Math › Making Predictions and Solutions Using Experimental Data(TEKS.Math.7.6.C)
A fair coin was flipped 200 times and landed on heads 116 times. What is the experimental probability of heads?
0.42
0.58
0.5
1.16
Explanation
Use heads/total: $116/200 = 0.58 = 58%$. Experimental results can vary from trial to trial, but with more flips the result tends to get closer to 50%.
A coin was flipped 100 times and landed on heads 47 times. Predict heads in 1,000 flips.
500
47
530
470
Explanation
Use the experimental rate from the sample: $47/100 = 0.47$. Scale to 1,000 flips: $0.47 \times 1000 = 470$. Actual results may differ, but larger samples usually stay closer to this proportion.
A coin was flipped 350 times and landed on heads 181 times. What is the experimental probability of heads?
0.517
0.5
0.483
0.35
Explanation
Compute heads/total: $181/350 \approx 0.517 = 51.7%$. This is close to 50%, and with more flips the experimental probability typically gets closer to the theoretical 50%.
A coin was flipped 250 times and landed on heads 140 times. Predict heads in 1,000 flips.
500
140
560
600
Explanation
Experimental rate: $140/250 = 0.56$. Scale to 1,000 flips: $0.56 \times 1000 = 560$. Predictions use the sample proportion, though real outcomes can vary; larger samples tend to be more stable.
A fair coin was flipped 400 times and landed on heads 196 times. What is the experimental probability of heads?
0.51
0.49
0.5
4
Explanation
Compute heads/total: $196/400 = 0.49 = 49%$. This is near 50%, and with many flips the experimental probability tends to settle near the theoretical value.