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STA1010 - Statistical methods for science - S2 2025

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Thirty percent (30%) of the students in high school study Chemistry.

Of these Chemistry students, 60% go on to university in general.

Of those who did not study chemistry, 50% go on to university.

Given a randomly selected student who is at university, what is the probability that the student studied chemistry in high school?

[Hint: Consider a two-way table.]

 

100%
0%
0%
0%
0%
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University students were given three choices of pizza toppings and asked to choose one favorite. The following table shows the results.

VeggieMeat LoverSeafoodTotal
1st year158201141
2nd year142123155
3rd year160150110
Total

Find the probability that the favourite topping is veggie if the student is a 1st year.

0%
0%
0%
100%
0%
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Two different people, acting independently, had to pick a number between 1 and 9, inclusive.

What is the probability that they have picked the same number?

State your answer fully to three (3) decimal places.

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