On a tray there are 12 hard‑centred chocolates
What is the probability of selecting at least one soft-centred chocolate? (3 marks)
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♦ Mean mark 45%.
Probability, SMB-014
A game consists of two tokens being drawn at random from a barrel containing 20 tokens. There are 17 red tokens and 3 black tokens. The player keeps the two tokens drawn.
- Complete the probability tree by writing the missing probabilities in the boxes. (2 marks)
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- What is the probability that a player draws at least one red token? Give your answer in exact form. (2 marks)
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Probability, SMB-012
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, STD2 S2 2005 HSC 23a
There are 100 tickets sold in a raffle. Justine sold all 100 tickets to five of her friends. The number of tickets she sold to each friend is shown in the table.
- Justine claims that each of her friends is equally likely to win first prize.
Give a reason why Justine’s statement is NOT correct. (1 mark)
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- What is the probability that first prize is NOT won by Khalid or Herman? (2 marks)
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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?