Two dice are rolled. What is the probability that only one of the dice shows a three? (2 marks)
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Probability, SMB-010
Each time she throws a dart, the probability that Gaga hits the dartboard is
She throws two darts, one after the other.
What is the probability that she misses the dartboard with both darts? (2 marks)
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Probability, SMB-009
Jon spins each pointer 50 times.
Each time he added the numbers that the pointers landed on.
His results are shown below.
What percentage of the spins resulted in a sum of 9? (2 marks)
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Probability, SMB-008
Two fair 20 cent coins are tossed at the same time.
What is the probability that both coins will show heads? (2 marks)
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Probability, SMB-007 MC
Brandi spins the arrow on two identical spinners.
The arrow on each spinner is equally likely to land on 1, 2 or 3.
If Brandi adds up the two results, which total is she least likely to get?
Probability, SMB-005 MC
Two standard dice are rolled at the same time and the two numbers are added up.
Which total is most likely?
Probability, SMB-003 MC
Arun flips an unbiased coin 200 times.
Which result is most likely?
Probability, SMB-002
A representative soccer team is chosen from 30 players who play for two clubs, Portland and Lithgow.
10 players from Portland and 20 players from Lithgow are playing in the trials, and 7 players from Portland and 8 from Lithgow are selected in the representative team.
One player at the trial is randomly selected.
What is the probability that the player is from Lithgow and is selected in the representative team?
Give your answer to two decimal places. (2 marks)
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Probability, SMB-001
A coin is tossed 3 times. There are 8 possible outcomes.
What is the probability of getting 2 heads and 1 tail in any order? (2 marks)
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Show Worked Solution
| 1st toss | H | H | H | H | T | T | T | T | |
| 2nd toss | H | H | T | T | H | H | T | T | |
| 3rd toss | H | T | H | T | H | T | H | T | |
| ✓ | ✓ | ✓ |
Probability, STD2 S2 2015 HSC 16 MC
The probability of winning a game is
Which expression represents the probability of winning two consecutive games?
Probability, STD2 S2 2014 HSC 16 MC
In Mathsville, there are on average eight rainy days in October.
Which expression could be used to find a value for the probability that it will rain on two consecutive days in October in Mathsville?
Probability, STD2 S2 2011 HSC 15 MC
An unbiased coin is tossed 10 times.
A tail is obtained on each of the first 9 tosses.
What is the probability that a tail is obtained on the 10th toss?
Probability, STD2 S2 2013 HSC 26c
The probability that Michael will score more than 100 points in a game of bowling is
- A commentator states that the probability that Michael will score less than 100 points in a game of bowling is
.
Is the commentator correct? Give a reason for your answer. (1 mark)
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- Michael plays two games of bowling. What is the probability that he scores more than 100 points in the first game and then again in the second game? (1 mark)
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Probability, STD2 S2 2010 HSC 20 MC
Lou and Ali are on a fitness program for one month. The probability that Lou will finish the program successfully is 0.7 while the probability that Ali will finish successfully is 0.6. The probability tree shows this information
What is the probability that only one of them will be successful ?
Probability, STD2 S2 2013 HSC 18 MC
Two unbiased dice, each with faces numbered 1, 2, 3, 4, 5, 6, are rolled.
What is the probability of obtaining a sum of 6?