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Survey

This is part 2 (of 2) of the survey.
Please answer the questions below.
Do not use a calculator but feel free to use the space available for notes (i.e., scratch paper).

Out of 100 people in a small town 50 are members of a choir. Out of these 50 members in a choir 30 are women. Out of the 50 inhabitants that are not in a choir 20 are women.
What is the probability that a randomly drawn woman is NOT a member of the choir?

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Imagine we are throwing a die (6 sides, numbered 1 to 6). The probability that the die shows "1" is three times as high as the probability of each of the other numbers. Now imagine you would throw this die 80 times.
On average, out of 80 throws how many times would the die eventually show the number 1?

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Imagine we are throwing a five-sided die (numbered 1 to 5) 100 times.
On average, out of 100 throws how many times would this five-sided die show an odd number (1, 3 or 5)?

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In a forest 40% of mushrooms are red, 30% brown and 30% white. A red mushroom is poisonous with a probability of 10%. A mushroom that is not red is poisonous with a probability of 20%.
What is the probability that a poisonous mushroom in the forest is red?

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