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IB: 5
4
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In a robotics lab there are nine identical data-sticks, each labelled with a single code letter:
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A technician randomly selects two sticks, without replacement.
Find the probability that the first stick selected is labelled
- [1]
A,
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A or I.
- [2]
Determine the probability that the second stick selected is labelled A, given that the first stick selected was labelled I.
- [2]
Find the probability that both sticks selected are labelled A.
5
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A deck of ten special game cards contains the numbers
{2,2,3,3,4,5,6,7,8,9}
Two cards are drawn one after the other without replacement.
Write down
- [1]
the probability that the first card drawn shows the number 2.
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the probability that the first card drawn shows 2 or 3.
- [2]
Find the probability that the second card drawn shows 2, given that the first card drawn showed 3.
- [3]
Find the probability that the sum of the two cards is 10.
6
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During a very difficult practice maths quiz, 40 high‑school students each received a mark out of 100.
- [1]
Write down the median mark.
- [1]
How many students scored 24 marks or less?
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How many students scored more than 29 marks?
A passing score is 27 marks.
- [3]
Determine the probability that a student scored above 29 marks given that they passed the exam.
7
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Plus
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8
!
Plus
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9
!
Plus
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10
!
Plus
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11
Plus
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12
Plus
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