Independent and Dependent Probability

Front

What is the definition of independent events in probability?

Back

Independent events are events where the occurrence of one event does not affect the probability of the other event occurring.

Front

What is the definition of dependent events in probability?

Back

Dependent events are events where the occurrence of one event affects the probability of the other event occurring.

Front

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

Back

To find the probability of two independent events A and B occurring together, multiply their probabilities: P(A and B) = P(A) * P(B).

Front

How do you calculate the probability of two dependent events occurring together?

Back

To find the probability of two dependent events A and B occurring together, use: P(A and B) = P(A) * P(B|A), where P(B|A) is the probability of B given A has occurred.

Front

What is theoretical probability?

Back

Theoretical probability is the probability of an event occurring based on the possible outcomes in a perfect world, calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

What is experimental probability?

Back

Experimental probability is the probability of an event occurring based on actual experiments or trials, calculated as the number of times the event occurs divided by the total number of trials.

Front

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

Back

The probability of tossing a coin and getting heads is 1/2.

Front

What is the probability of spinning a spinner with 6 equal sections and landing on one specific color?

Back

The probability of landing on one specific color is 1/6.

Front

How do you calculate the probability of drawing a card from a deck?

Back

The probability of drawing a specific card from a standard deck of 52 cards is 1/52.

Front

What is the probability of picking a quarter from a bag containing 5 quarters, 2 dimes, and 4 pennies?

Back

The probability of picking a quarter is 5/11.