Probability of Dependent Events

Front

What is the probability of dependent events?

Back

The probability of dependent events is the likelihood of two or more events occurring where the outcome of one event affects the outcome of another.

Front

Define 'dependent events' in probability.

Back

Dependent events are events where the outcome or occurrence of the first event affects the outcome or occurrence of the second event.

Front

What is the formula for calculating the probability of two dependent events A and B?

Back

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 have 3 red and 2 blue marbles, what is the probability of picking a red marble and then a blue marble without replacement?

Back

P(red, then blue) = (3/5) * (2/4) = 6/20 = 3/10.

Front

In the word 'Banana', how many total letters are there?

Back

There are 6 letters in the word 'Banana'.

Front

How many times does the letter 'A' appear in the word 'Banana'?

Back

The letter 'A' appears 3 times in the word 'Banana'.

Front

What is the probability of picking 'B' first and then 'A' from the letters of 'Banana' without replacement?

Back

P(B, then A) = (1/6) * (3/5) = 3/30.

Front

If you pick a card from a deck of 56 cards, what is the probability of picking a black card first and then another black card without replacement?

Back

P(black, then black) = (28/56) * (27/55) = 756/3080 = 189/770.

Front

What is the probability of picking 'A' first and then another 'A' from the letters of 'Banana' without replacement?

Back

P(A, then A) = (3/6) * (2/5) = 6/30.

Front

If you have 15 black and 41 white cards, what is the probability of picking a black card and then a white card without replacement?

Back

P(black, then white) = (15/56) * (41/55) = 615/3080.