Probability Final Review

Front

What is Theoretical Probability?

Back

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

Front

What is Experimental Probability?

Back

Experimental Probability is the likelihood of an event happening based on actual experiments or trials, calculated using the formula: P(Event) = (Number of times the event occurs) / (Total number of trials).

Front

How do you calculate the probability of an event?

Back

To calculate the probability of an event, use the formula: P(Event) = (Number of favorable outcomes) / (Total number of outcomes).

Front

What is the probability of pulling a red marble from a bag containing 3 red, 2 blue, 4 green, and 1 yellow marble?

Back

P(red) = 3/10.

Front

If a bag contains 10 marbles (3 red, 2 blue, 4 green, 1 yellow), what is the probability of pulling a green marble?

Back

P(green) = 4/10 = 2/5.

Front

What is the probability of choosing a vowel from the word 'MATHEMATICS'?

Back

P(vowel) = 4/11.

Front

What is the probability of an impossible event?

Back

The probability of an impossible event is 0.

Front

What is the probability of a certain event?

Back

The probability of a certain event is 1.

Front

If the probability of an event is 0.25, what are the odds against the event occurring?

Back

Odds against = (1 - P(Event)) / P(Event) = 0.75 / 0.25 = 3:1.

Front

What is the formula for calculating the probability of two independent events A and B occurring?

Back

P(A and B) = P(A) * P(B).