Probability TSI

Front

What is probability?

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

Front

What is the formula for calculating the probability of an event?

Back

Probability (P) = Number of favorable outcomes / Total number of possible outcomes.

Front

What is a sample space in probability?

Back

A sample space is the set of all possible outcomes of a probability experiment.

Front

What does it mean for events to be independent?

Back

Two events are independent if the occurrence of one does not affect the occurrence of the other.

Front

What is the probability of rolling a 3 on a standard six-sided die?

Back

1/6, since there is one favorable outcome (rolling a 3) out of six possible outcomes.

Front

How do you calculate the probability of two independent events both occurring?

Back

Multiply the probabilities of each event: P(A and B) = P(A) * P(B).

Front

What is the probability of drawing a heart from a standard deck of cards?

Back

1/4, since there are 13 hearts in a deck of 52 cards.

Front

What is conditional probability?

Back

Conditional probability is the probability of an event occurring given that another event has already occurred.

Front

What is the probability of selecting a female who is a Democrat from a group of 10 women and 40 men, where 25 are Democrats?

Back

1/10, since there are 10 women and 25 Democrats.

Front

What is the probability of selecting one green marble from Bag A (9 red, 3 green) and one black marble from Bag B (9 black, 6 orange)?

Back

3/20, calculated as (3/12) * (9/15).