Probability of Dependent Events

Front

What is the definition of dependent events in probability?

Back

Dependent events are events where the outcome of one event affects the outcome of another event.

Front

How do you calculate the probability of dependent events?

Back

To calculate the probability of dependent events, use the formula: P(A and B) = P(A) * P(B|A), where P(B|A) is the probability of event B occurring after event A has occurred.

Front

If a box contains 5 blue pens and 4 black pens, what is the probability of drawing 2 black pens without replacement?

Back

3/18 or 1/6.

Front

In a bag with 4 red balls and 3 green balls, what is the probability of drawing a red ball followed by a green ball without replacement?

Back

2/7.

Front

What is the probability of drawing 2 white balls and then a black ball from a bag containing 8 white and 6 black balls?

Back

0.1538.

Front

What is the probability of drawing a heart, then a diamond, then a club, and then a spade from a deck of 52 cards?

Back

0.

Front

If a box contains 7 red socks and 5 blue socks, what is the probability of drawing a red sock followed by a blue sock without replacement?

Back

0.2652.

Front

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

Back

P(A and B and C) = P(A) * P(B|A) * P(C|A and B).

Front

What does 'without replacement' mean in probability?

Back

'Without replacement' means that once an item is drawn, it is not put back into the pool of items for subsequent draws.

Front

What is the total number of outcomes when drawing 2 pens from a box of 9 pens?

Back

The total number of outcomes is 36 (9 choose 2).