Tree Diagrams

Front

What is a tree diagram?

Back

A tree diagram is a visual representation used to show all possible outcomes of an event, branching out from a starting point.

Front

How do you calculate the total number of outcomes in a tree diagram?

Back

Multiply the number of outcomes at each stage of the event.

Front

If a bag contains 3 white balls and 4 green balls, how many total balls are there?

Back

7 balls (3 white + 4 green).

Front

What is the probability of drawing a white ball from a bag with 3 white and 4 green balls?

Back

3/7 (3 white balls out of 7 total balls).

Front

What does 'without replacement' mean in probability?

Back

It means that once an item is drawn, it is not put back into the bag before the next draw.

Front

How many outcomes are there when rolling a die and flipping a coin?

Back

12 outcomes (6 outcomes from the die x 2 outcomes from the coin).

Front

What is the probability of rolling an even number on a die?

Back

3/6 or 1/2 (the even numbers are 2, 4, and 6).

Front

What is the probability of flipping a head on a coin?

Back

1/2 (there are 2 possible outcomes: heads or tails).

Front

If you have 3 tops, 2 pants, and 2 shoes, how do you find the total outfit options?

Back

Multiply the number of tops, pants, and shoes: 3 x 2 x 2 = 12 outfits.

Front

What is the probability of getting plain crust with ham on a pizza if there are 10 total options?

Back

1/10 (1 plain crust with ham out of 10 total options).