7.6I Probability: Experimental vs Theoretical

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Explore probabilities

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7.6I Probability: Experimental vs Theoretical


Froggy Jumps 7.6I Probability: Experimental vs TheoreticalVersión en línea Explore probabilities por Rowan B. Grazier 1 If a fair six-sided die is rolled, what is the theoretical probability of getting a 4? a 2/6 b 1/6 c 1/5 2 After 60 rolls, a coin lands heads 32 times. Which shows experimental probability? a 60/32 b 1/2 c 32/60 3 Theoretical probability of drawing an Ace from a standard deck of 52 cards is: a 4/52 b 1/13 c 8/52 4 Experiment: flipping a coin 50 times, 26 heads. Experimental probability of heads is: a 26/50 b 24/50 c 1/2 5 A spinner with 4 equal sectors lands on red once in 8 trials. Experimental probability of red is: a 1/2 b 3/4 c 1/4 6 Theoretical probability of rolling an even number on a die is: a 2/6 b 3/6 c 1/6 7 Which pair best illustrates experimental vs theoretical probability? a Observed outcomes vs calculated chances b Random choice vs fixed outcome c Certain event vs impossible event 8 If 12 of 36 draws were successes, experimental probability of success is: a 3/9 b 12/36 c 24/36 9 Theoretical probability for drawing a heart from a full deck is: a 26/52 b 13/52 c 1/4 10 An experiment shows 15 successes out of 60 trials. Theoretical probability would be: a 15/60 b 25/100? c 60/64 11 Amy rolls a 12-sided die numbered from one to twelve. What is the probability Amy rolls a number divisible by 3? a 25% b 33 1/3% c 50% 12 Mr. Nguyen spins the spinner 50 times. The results of the spins are shown in the table. Based on the data, what is the experimental probability that Mr. Nguyen will spin a hexagon on the next spin? a 8 out of 50 b c 13 What is the theoretical probability of flipping heads on a fair coin? a 1/3 b 1/2 c 2/3 14 Experimental probability uses what kind of data to estimate likelihood? a Observed frequencies b Pure guesses c Theoretical models 15 If you roll a fair six-sided die, what is the theoretical probability of rolling a 4? a 1/6 b 1/3 c 1/4 16 Experimental probability is often close to the theoretical value when what increases? a Trials count increases b Bias is introduced c Sample size decreases 17 The empirical rule compares observed outcomes to what? a Theoretical probability b Random chance c Coin toss results 18 Which is more precise with more trials: theoretical or experimental probability? a Experimental worsens b Both are same with more trials c Theoretical remains constant; experimental improves 19 What term describes the ratio of favorable outcomes to total outcomes in a sample space? a Frequency b Probability c Confidence 20 If two fair dice are rolled, what is the theoretical probability of sum 7? a 6/36 or 1/6 b 5/18 c 1/9 21 If an experiment is biased, experimental probability may differ from what? a Random results b Observed data c Theoretical probability 22 Which method relies on past data to predict future chances? a Experimental probability b Anecdotal evidence c Theoretical probability

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7.6I Probability: Experimental vs TheoreticalVersión en línea

por Rowan B. Grazier

If a fair six-sided die is rolled, what is the theoretical probability of getting a 4?

After 60 rolls, a coin lands heads 32 times. Which shows experimental probability?

Theoretical probability of drawing an Ace from a standard deck of 52 cards is:

Experiment: flipping a coin 50 times, 26 heads. Experimental probability of heads is:

A spinner with 4 equal sectors lands on red once in 8 trials. Experimental probability of red is:

Theoretical probability of rolling an even number on a die is:

Which pair best illustrates experimental vs theoretical probability?

If 12 of 36 draws were successes, experimental probability of success is:

Theoretical probability for drawing a heart from a full deck is:

An experiment shows 15 successes out of 60 trials. Theoretical probability would be:

Amy rolls a 12-sided die numbered from one to twelve. What is the probability Amy rolls a number divisible by 3?

Mr. Nguyen spins the spinner 50 times. The results of the spins are shown in the table. Based on the data, what is the experimental probability that Mr. Nguyen will spin a hexagon on the next spin?

What is the theoretical probability of flipping heads on a fair coin?

Experimental probability uses what kind of data to estimate likelihood?

If you roll a fair six-sided die, what is the theoretical probability of rolling a 4?

Experimental probability is often close to the theoretical value when what increases?

The empirical rule compares observed outcomes to what?

Which is more precise with more trials: theoretical or experimental probability?

What term describes the ratio of favorable outcomes to total outcomes in a sample space?

If two fair dice are rolled, what is the theoretical probability of sum 7?

If an experiment is biased, experimental probability may differ from what?

Which method relies on past data to predict future chances?