12/10 AMDM: Compound Probability Review

Front

What is compound probability?

Back

Compound probability refers to the probability of two or more events happening at the same time. It can be calculated using the multiplication rule for independent events or the addition rule for mutually exclusive events.

Front

What is the difference between probability with replacement and without replacement?

Back

With replacement means that after an item is selected, it is returned to the original set before the next selection. Without replacement means that once an item is selected, it is not returned to the set for the next selection.

Front

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

Back

To find the probability of two independent events occurring, multiply the probability of the first event by the probability of the second event.

Front

What is the probability of drawing a black face card from a standard deck of cards?

Back

There are 3 black face cards (Jack, Queen, King of Spades and Clubs) in a standard deck of 52 cards. The probability is 3/52.

Front

What is the probability of drawing a red card from a standard deck of cards?

Back

There are 26 red cards (13 Hearts and 13 Diamonds) in a standard deck of 52 cards. The probability is 26/52 or 1/2.

Front

If I draw a card from a deck and do not replace it, how does it affect the probability of the next draw?

Back

Not replacing the card changes the total number of cards in the deck, which affects the probability of drawing any subsequent card.

Front

What is the probability of drawing two pennies from a box containing 10 pennies without replacement?

Back

The probability of drawing the first penny is 10/25. After drawing one penny, there are 9 left out of 24 total coins, so the probability of drawing a second penny is 9/24. The combined probability is (10/25) * (9/24) = 3/20.

Front

How do you calculate the probability of drawing a red card and then a spade with replacement?

Back

The probability of drawing a red card is 26/52. Since the card is replaced, the probability of drawing a spade remains 13/52. The combined probability is (26/52) * (13/52) = 1/8.

Front

What is the total number of marbles in a jar containing 2 green, 4 blue, 3 yellow, and 2 black marbles?

Back

The total number of marbles is 2 + 4 + 3 + 2 = 11.

Front

What is the probability of drawing a green marble first and a yellow marble second with replacement?

Back

The probability of drawing a green marble is 2/11. Since the marble is replaced, the probability of drawing a yellow marble is 3/11. The combined probability is (2/11) * (3/11) = 6/121.