Front

What is the probability of drawing a red counter from a bag containing 3 red and 7 blue counters?

Back

The probability is 3/10.

Front

What is the probability of drawing a blue counter after drawing a red counter without replacement from a bag containing 3 red and 7 blue counters?

Back

The probability is 7/9.

Front

What is the total number of outcomes when rolling a die and flipping a coin?

Back

The total outcomes are 12 (6 outcomes from the die and 2 from the coin).

Front

What is the probability of rolling a number less than 6 on a die and flipping a head?

Back

The probability is 5/12.

Front

How many different ways can 6 classes be arranged in a school schedule?

Back

There are 720 different ways (6! = 720).

Front

What is the formula for calculating the probability of an event?

Back

Probability = (Number of favorable outcomes) / (Total number of outcomes).

Front

Define 'without replacement' in probability.

Back

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

Front

What is a tree diagram in probability?

Back

A tree diagram is a visual representation of all possible outcomes of an event, showing the paths to each outcome.

Front

What is the probability of drawing two blue counters in succession without replacement from a bag of 3 red and 7 blue counters?

Back

The probability is (7/10) * (6/9) = 42/90 = 14/30 = 7/15.

Front

What does it mean for events to be independent in probability?

Back

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