7/8 Probability Topic A

Front

What is the sample space when rolling two six-sided dice?

Back

The sample space consists of all possible outcomes, which is 36 outcomes (6 sides on the first die x 6 sides on the second die).

Front

What is the probability of drawing a heart or a diamond from a standard deck of cards?

Back

Front

What is the probability of drawing two aces from a standard deck without replacement?

Back

Front

How many possible outcomes are there when flipping a coin twice?

Back

There are 4 possible outcomes: HH, HT, TH, TT.

Front

How many outcomes are there when flipping a coin three times?

Back

There are 8 outcomes: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.

Front

Define probability in the context of a sample space.

Back

Probability is the measure of the likelihood that an event will occur, calculated as the number of favorable outcomes divided by the total number of outcomes in the sample space.

Front

What is a tree diagram and how is it used in probability?

Back

A tree diagram is a visual representation of all possible outcomes of an event, used to calculate probabilities by branching out each possible outcome.

Front

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

Back

The formula is: Probability = @@rac{{ ext{Number of favorable outcomes}}}{{ ext{Total number of outcomes}}}.

Front

What does 'without replacement' mean in probability?

Back

'Without replacement' means that once an item is drawn from a set, it is not returned to the set before the next draw, affecting the total number of outcomes.

Front

How do you calculate the probability of independent events?

Back

For independent events, the probability of both events occurring is the product of their individual probabilities.