Independent & 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 cards from a deck without replacement is a dependent event.

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.

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 you roll a die, what is the probability of rolling an odd number?

Back

The probability of rolling an odd number (1, 3, or 5) on a standard die is 3/6 or 1/2.

Front

What is the probability of drawing two cards from a deck without replacement?

Back

The probability of drawing two specific cards from a deck without replacement is calculated by multiplying the probability of drawing the first card by the probability of drawing the second card after the first has been drawn.

Front

What is the probability of rolling a 4 on a die twice in a row?

Back

The probability of rolling a 4 on a die twice in a row is P(4) * P(4) = (1/6) * (1/6) = 1/36.

Front

What is the probability of selecting a pen and then a pencil from a box containing 10 pens and 15 pencils?

Back

The probability of selecting a pen and then a pencil is (10/25) * (15/24) = 150/600 = 1/4.

Front

What is the probability of drawing a 9 four times in a row without replacement?

Back

The probability of drawing a 9 four times in a row without replacement is (4/52) * (3/51) * (2/50) * (1/49) = 1/270,725.