Bozio--Probability Review

Front

What is probability?

Back

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

Front

What does it mean if an event is 'certain'?

Back

An event is 'certain' if it is guaranteed to happen, with a probability of 1.

Front

What does it mean if an event is 'impossible'?

Back

An event is 'impossible' if it cannot happen at all, with a probability of 0.

Front

How do you calculate the theoretical probability of an event?

Back

Theoretical probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Front

If a bag has 3 red marbles, 2 blue marbles, and 4 yellow marbles, what is the total number of marbles?

Back

Total marbles = 3 (red) + 2 (blue) + 4 (yellow) = 9 marbles.

Front

What is the probability of pulling a red marble from a bag with 3 red marbles out of 9 total marbles?

Back

P(red) = Number of red marbles / Total marbles = 3/9 = 1/3.

Front

What is the complement of an event A, denoted as P(not A)?

Back

P(not A) is the probability that event A does not occur.

Front

If P(A) = 1/4, what is P(not A)?

Back

P(not A) = 1 - P(A) = 1 - 1/4 = 3/4.

Front

What does 'without replacement' mean in probability?

Back

'Without replacement' means that once an item is drawn, it is not put back into the pool for subsequent draws.

Front

If a box contains 5 purple marbles, 3 green marbles, and 2 orange marbles, what is the probability of drawing two purple marbles without replacement?

Back

P(both purple) = (5/10) * (4/9) = 20/90 = 2/9.