A jar contains 12 red, 10 black and 13 white lollies.
Alex picks out a red lolly and eats it. He then randomly picks a second lolly.
What is the probability that the second lolly is also red?
Probability, STD1 S2 2021 HSC 20
In a bag, there are six playing cards, 2, 4, 6, 8, Queen and King. The Queen and King are known as picture cards.
Two of these cards are chosen randomly. All the possible outcomes are shown.
- What is the probability that the two cards chosen include one or both picture cards? (1 mark)
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- What is the probability that the two cards chosen do NOT include any picture cards? (1 mark)
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Probability, STD1 S2 2020 HSC 26
Barbara plays a game of chance, in which two unbiased six-sided dice are rolled. The score for the game is obtained by finding the difference between the two numbers rolled. For example, if Barbara rolls a 2 and a 5, the score is 3.
The table shows some of the scores.
- Complete the six missing values in the table to show all possible scores for the game. (1 mark)
- What is the probability that the score for a game is NOT 0? (2 marks)
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a.
♦ Mean mark part (b) 47%.
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Probability, STD2 S2 2011 HSC 26a
The two spinners shown are used in a game.
Each arrow is spun once. The score is the total of the two numbers shown by the arrows.
A table is drawn up to show all scores that can be obtained in this game.
- What is the value of
in the table? (1 mark)
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- What is the probability of obtaining a score less than 4? (1 mark)
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- On Spinner
, a 2 is obtained. What is the probability of obtaining a score of 3? (1 mark)
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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 2006 HSC 25c
Sonia buys three raffle tickets.
- What is the probability that Sonia wins first prize? (1 mark)
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- What is the probability that she wins both prizes? (2 marks)
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Probability, STD2 S2 2006 HSC 10 MC
Kay randomly selected a marble from a bag of marbles, recorded its colour and returned it to the bag. She repeated this process a number of times.
Based on these results, what is the best estimate of the probability that Kay will choose a green marble on her next selection?
Probability, STD2 S2 2004 HSC 18 MC
Two dice are rolled. What is the probability that only one of the dice shows a six?
Probability, STD2 S2 2007 HSC 10 MC
Each time she throws a dart, the probability that Mary hits the dartboard is
She throws two darts, one after the other.
What is the probability that she hits the dartboard with both darts?
Probability, STD2 S2 2009 HSC 27c
In each of three raffles, 100 tickets are sold and one prize is awarded.
Mary buys two tickets in one raffle. Jane buys one ticket in each of the other two raffles.
Determine who has the better chance of winning at least one prize. Justify your response using probability calculations. (4 marks)
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 2012 HSC 12 MC
Two unbiased dice, each with faces numbered 1, 2, 3, 4, 5, 6, are rolled.
What is the probability of a 6 appearing on at least one of the dice?
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?