Compound Probability

Front

What is compound probability?

Back

Compound probability is the probability of two or more events happening at the same time. It can be calculated by multiplying the probabilities of the individual events.

Front

How do you find the probability of independent events?

Back

For independent events, multiply the probabilities of each event. For example, if P(A) = 1/2 and P(B) = 1/3, then P(A and B) = 1/2 * 1/3 = 1/6.

Front

What is the probability of drawing a red Skittle from a jar with 8 green, 4 blue, 10 red, and 2 yellow Skittles?

Back

The probability of drawing a red Skittle is P(red) = 10/(8+4+10+2) = 10/24 = 5/12.

Front

If a Skittle is drawn and replaced, what type of probability is this?

Back

This is an example of independent probability because the first draw does not affect the second draw.

Front

What is the probability of drawing two blue Skittles in a row with replacement?

Back

P(blue, then blue) = P(blue) * P(blue) = (4/24) * (4/24) = 1/36.

Front

What is the probability of drawing two pears from a fruit basket without replacement?

Back

P(pear, then pear) = P(pear) * P(pear after first pear) = (5/25) * (4/24) = 1/30.

Front

What does it mean to replace an item in probability?

Back

Replacing an item means putting it back into the set before the next draw, keeping the total number of items the same.

Front

What is the formula for finding the probability of two dependent events?

Back

For dependent events, use the formula: P(A and B) = P(A) * P(B after A).

Front

How do you calculate the probability of drawing a green Skittle followed by a yellow Skittle with replacement?

Back

P(green, then yellow) = P(green) * P(yellow) = (8/24) * (2/24) = 1/12.

Front

What is the total number of Skittles in the jar?

Back

Total Skittles = 8 (green) + 4 (blue) + 10 (red) + 2 (yellow) = 24.