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STA1010 - Statistical methods for science - S2 2025
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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.
| Veggie | Meat Lover | Seafood | Total | |
| 1st year | 158 | 201 | 141 | |
| 2nd year | 142 | 123 | 155 | |
| 3rd year | 160 | 150 | 110 | |
| Total |
Find the probability that the favourite topping is veggie if the student is a 1st year.
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.]
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.