Intro to Probability

Front

What is probability?

Back

Probability is a measure of how likely an event is to occur, expressed as a number between 0 and 1.

Front

What is theoretical probability?

Back

Theoretical probability is the probability of an event happening based on all possible outcomes, calculated using the formula: P(event) = (Number of favorable outcomes) / (Total number of outcomes).

Front

How do you calculate the probability of pulling a red marble from a bag with 3 red, 2 blue, and 4 yellow marbles?

Back

P(red) = 3/(3+2+4) = 3/9 = 1/3.

Front

What does P(not A) represent in probability?

Back

P(not A) represents the probability of an event not occurring.

Front

If a spinner has 8 equal sections and 2 are labeled 'A', what is P(not A)?

Back

P(not A) = (Total sections - Sections labeled A) / Total sections = (8-2)/8 = 6/8 = 3/4.

Front

What is the probability of spinning red if there are 5 red sections out of 12 total sections?

Back

P(red) = 5/12.

Front

How do you determine if an event is more likely or less likely?

Back

Compare the probabilities of the events. If P(event A) > P(event B), then event A is more likely.

Front

What is the probability of rolling a 2 on a standard die?

Back

P(rolling a 2) = 1/6.

Front

What is the total number of outcomes when rolling a standard die?

Back

The total number of outcomes when rolling a standard die is 6.

Front

If a bag contains 3 red, 2 blue, and 4 yellow marbles, how many total marbles are there?

Back

Total marbles = 3 + 2 + 4 = 9.