Tree Diagrams

Front

What is a tree diagram?

Back

A tree diagram is a graphical representation used to illustrate all possible outcomes of a sequence of events, showing the branching of each outcome.

Front

How do you calculate the probability of an event?

Back

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Front

If the probability of an event occurring is 0.6, what is the probability of it not occurring?

Back

The probability of the event not occurring is 1 - 0.6 = 0.4.

Front

What is the formula for finding the total number of outfits from different clothing items?

Back

The total number of outfits can be found by multiplying the number of options for each clothing item together.

Front

In a bag with 3 red and 7 blue counters, what is the probability of drawing a red counter first?

Back

The probability of drawing a red counter first is 3/10.

Front

What is the probability of drawing a blue counter after drawing a red counter without replacement?

Back

If a red counter is drawn first, the probability of drawing a blue counter next is 7/9.

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, affecting the probabilities of subsequent draws.

Front

How do you find the probability of multiple independent events occurring?

Back

To find the probability of multiple independent events occurring, multiply the probabilities of each individual event.

Front

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

Back

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

Front

What is the significance of a sample space in probability?

Back

The sample space is the set of all possible outcomes of a probability experiment, which is essential for calculating probabilities.