Probability Tree Diagrams

The probability tree shows the outcomes of flipping a coin twice.

What is the probability the coin lands on heads twice?

• 0.5

• 0.1

• 0.25

• 1

What is the probability of getting the same outcome after the coin is flipped twice?

• 0.25

• 0.1

• 0.5

• 0.75

What is the probability that Matt and Thomas both score?

• 0.42

• 0.6

• 0.12

• 0.54

What is the probability at least one of them scores?

• 0.12

• 0.88

• 0.42

• 0.5

Here is a partially completed probability tree showing the probability of winning on a Teddy Grabber and a Penny Drop.

What is the probability of losing both games?

• $\frac{6}{15}$

• $\frac{3}{5}$

• $\frac{3}{15}$

• None of these

What is the probability of winning exactly one game?

• $\frac{3}{15}$

• $\frac{13}{15}$

• $\frac{7}{15}$

• None of these

There are 5 lemon and 4 strawberry sweets in a bag.

Hailey takes out a sweet at random, writes down its flavour and puts it back into the bag.

Then Hailey takes out a second sweet, at random, and writes down its flavour.

What is the probability that Hailey took out at least one strawberry sweet?

• $\frac{25}{81}$

• $\frac{40}{81}$

• $\frac{56}{81}$

• None of these

Find the probability of picking two blue pens

• $\frac{56}{90}$

• $\frac{16}{90}$

• $\frac{64}{100}$

• $\frac{15}{90}$

Find the probability of picking a red pen then a blue pen

• $\frac{56}{90}$

• $\frac{16}{90}$

•  $\frac{16}{100}$ 

•  $\frac{10}{90}$ 

Find the probability of picking two red pens

• $\frac{56}{90}$

• $\frac{16}{90}$

•  $\frac{4}{90}$ 

•  $\frac{2}{90}$