Rose Harrison and Clara Huizink Solutions for Exercise 10: Practice 3

Two fair coins are tossed.
Draw a tree diagram to represent the possible outcomes.

Two fair coins are tossed.
Calculate the probability that both coins show Heads.

James wants to find the probability of rolling two sixes on two fair dice.
He starts to draw this tree diagram.

Copy and complete the tree diagram.
Calculate the probability of rolling two sixes.

Nienke and Merel both play netball. The probability that Nienke will score a goal on her first attempt is $0.75$. The probability that Merel will score a goal on her first attempt is $0.82$.

Calculate the probability that:
Nienke and Merel will both score a goal on their first attempt

Nienke and Merel both play netball. The probability that Nienke will score a goal on her first attempt is $0.75$. The probability that Merel will score a goal on her first attempt is $0.82$.

Calculate the probability that:

neither Nienke nor Merel will score a goal on their first attempt.

A drawer contains $3$ green and $2$ yellow candles. $G$ is the event picking a green candle, and $Y$ is the event picking a yellow candle.
Calculate $P\left(G\right)$ and $P\left(Y\right)$

A drawer contains $3$ green and $2$ yellow candles. $G$ is the event picking a green candle, and $Y$ is the event picking a yellow candle.
A candle is picked from the drawer. Its color is noted and it is replaced in the drawer. A second candle is then picked.
Draw a tree diagram to represent the sample space.

A drawer contains $3$ green and $2$ yellow candles. $G$ is the event picking a green candle, and $Y$ is the event picking a yellow candle.

Verify that picking two green candles is more likely than picking two yellow candles.