Probability - Ind, Dep, Mut Exclusive, Complement, Conditional

Front

What is the probability of picking a yellow marble, and then a blue marble from a bag containing 8 blue marbles, 7 green marbles, and 5 yellow marbles, if the marble is replaced after each draw?

Back

P(yellow, blue) = (5/20) * (8/20) = 1/10.

Front

What type of probability is it when the sorting of Fred and George into Gryffindor is independent of each other?

Back

Independent probability: The outcome of one event does not affect the outcome of another.

Front

What is the probability of not choosing the letter 'A' from the word 'ALGEBRA'?

Back

P(not A) = 5/7 = 71%.

Front

What is the probability that both marbles drawn from a bag containing 2 yellow marbles and 8 brown marbles are yellow, if they are drawn without replacement?

Back

P(both yellow) = (2/10) * (1/9) = 1/45.

Front

What is the probability of NOT drawing a blue marble from a bag containing 8 blue marbles, 7 green marbles, and 5 yellow marbles?

Back

P(not blue) = (7 + 5)/20 = 12/20 = 3/5.

Front

Define independent events in probability.

Back

Independent events are those whose outcomes do not affect each other.

Front

Define dependent events in probability.

Back

Dependent events are those whose outcomes are affected by the outcome of another event.

Front

What are mutually exclusive events?

Back

Mutually exclusive events cannot occur at the same time.

Front

What is the complement of an event in probability?

Back

The complement of an event A is the event that A does not occur.

Front

If the probability of event A is 0.3, what is the probability of the complement of A?

Back

P(not A) = 1 - P(A) = 1 - 0.3 = 0.7.