Independent vs Dependent Events

Front

What are independent events in probability?

Back

Independent events are two or more events where the occurrence of one event does not affect the occurrence of the other. For example, flipping a coin and rolling a die are independent events.

Front

What are dependent events in probability?

Back

Dependent events are two or more events where the occurrence of one event affects the occurrence of the other. For example, drawing a card from a deck and not replacing it before drawing another card.

Front

What is the formula for calculating the probability of independent events?

Back

The probability of independent events A and B occurring together is P(A and B) = P(A) * P(B).

Front

What is the formula for calculating the probability of dependent events?

Back

The probability of dependent events A and B occurring together is P(A and B) = P(A) * P(B|A), where P(B|A) is the probability of B given that A has occurred.

Front

If a spinner has 4 equal sections, what is the probability of landing on any one section?

Back

The probability of landing on one section is 1/4 or 25%.

Front

What is the probability of flipping a coin and getting heads?

Back

The probability of getting heads when flipping a coin is 1/2 or 50%.

Front

If you roll a die, what is the probability of rolling a 3?

Back

The probability of rolling a 3 on a standard die is 1/6 or approximately 16.7%.

Front

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

Back

The probability of drawing an Ace from a standard deck of 52 cards is 4/52 or 1/13, which is approximately 7.7%.

Front

If you draw a card from a deck and do not replace it, what is the probability of drawing a second Ace?

Back

If the first card drawn was an Ace, the probability of drawing a second Ace is 3/51, since there are now 51 cards left.

Front

What is the probability of getting tails on two consecutive coin flips?

Back

The probability of getting tails on two consecutive flips is (1/2) * (1/2) = 1/4 or 25%.