Theoretical and Experimental Probability #2

Front

What is theoretical probability?

Back

Theoretical probability is the likelihood of an event occurring based on all possible outcomes in a perfect scenario, calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes.

Tags

CCSS.7.SP.C.7A

Front

How do you calculate the theoretical probability of rolling an even number on a number cube?

Back

To calculate the theoretical probability of rolling an even number (2, 4, or 6) on a number cube, you divide the number of favorable outcomes (3) by the total number of outcomes (6). The theoretical probability is 3/6, which reduces to 1/2.

Tags

CCSS.7.SP.C.7B

Front

What is experimental probability?

Back

Experimental probability is the likelihood of an event occurring based on actual experiments or trials, calculated as the ratio of the number of times the event occurs to the total number of trials.

Front

How do you calculate the experimental probability of an event?

Back

To calculate the experimental probability of an event, divide the number of times the event occurs by the total number of trials conducted.

Tags

CCSS.7.SP.C.6

Front

If a coin is tossed 18 times and lands on heads 12 times, what is the experimental probability of landing on tails?

Back

The experimental probability of landing on tails is calculated as the number of tails (6) divided by the total tosses (18), which is 6/18, reducing to 1/3.

Tags

CCSS.7.SP.C.6

Front

What is the significance of reducing fractions in probability?

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Reducing fractions in probability simplifies the ratio, making it easier to understand and compare probabilities.

Tags

CCSS.7.SP.C.7B

Front

How do you determine the experimental probability from a bar graph?

Back

To determine the experimental probability from a bar graph, find the height of the bar representing the event of interest, divide it by the total height of all bars, which represents the total number of trials.

Front

What is the experimental probability of landing on a specific number after spinning a spinner multiple times?

Back

The experimental probability of landing on a specific number is calculated by dividing the number of times that number was landed on by the total number of spins.

Front

If Shannon selects a jelly bean 44 times and records the color, how do you find the experimental probability of selecting a red jelly bean?

Back

To find the experimental probability of selecting a red jelly bean, divide the number of times a red jelly bean was selected by the total number of selections (44).

Tags

CCSS.7.SP.C.6

Front

What is the difference between experimental and theoretical probability?

Back

Theoretical probability is based on expected outcomes in a perfect scenario, while experimental probability is based on actual outcomes from trials.