Probability 2: Probability of combined events
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Question 1 of 4
1. Question
Sophie has these two spinners.
She spins both spinners and then adds up the numbers to get a total.
To solve this question, you will have to draw and complete a space diagram like this:
Answer the following questions, giving your answer as a fraction.

(a) What is the probability that she gets a total that is an even number?
(b) What is the probability that she gets a total of more than 10?
(c) What is the probability that she gets a total that is a prime number?
Correct / 3 PointsIncorrect / 3 Points 

Question 2 of 4
2. Question
Three orange discs are numbered 1 to 3, and three green discs are numbered 1 to 3. An orange disc is chosen at random followed by a green disc.
To solve this question, you will have to draw and complete a space diagram like this:
What is the probability of getting

(a) a 2 followed by a 1?
(b) a 1 and a 2 in any order?
(c) a 3 as one of the numbers?
Correct / 3 PointsIncorrect / 3 Points 

Question 3 of 4
3. Question
Toby plays a game with a fair coin and a fair triangular spinner with sections numbered 2, 3 and 4.
He flips the coin and then spins the spinner. If the coin shows heads, his score is the number on the spinner multiplied by 3. If the coin shows tails, his score is the number on the spinner.
To solve this question, you will have to draw and complete a space diagram like this:
What is the probability that Toby gets a score of

(a) 9.
(b) 6 or less.
Correct / 2 PointsIncorrect / 2 Points 

Question 4 of 4
4. Question
Jenna plays a game with a fair coin and a fair spinner with sections numbered 1, 2, 3 and 4. She flips the coin and then spins the spinner. She writes down the possible outcomes.
What is the probability that Jenna gets a

(a) tail and a 3.
(b) heads and an even number.
Correct / 2 PointsIncorrect / 2 Points 