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| 1.
You pick two cards out of a standard pack of 52. The first card is a king. What's the probability of the second card also being a king? |
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| 2.
You toss a coin four times. The first, second and third toss are heads. What's the probability of the fourth toss also being heads? |
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| 3.
I choose two different numbers between 1 and 10 (1 and 10 are included). You try to guess the two numbers. How much chance do you have to guess both numbers correctly in one attempt? |
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| 4.
We're playing poker with a standard pack of fifty-two cards without jokers. You have two pairs: 3, 3, 4, 4, 8. You are unaware of which cards the other players are holding. You decide to replace the 8 by another card from the pack. How do you rate your chances to turn your hand into a full house? (Full house means one trio and one pair.) |
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| 5.
Ashley throws two normal, six-faced dice. How much chance does she have for a total of at least 11? |
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| 6.
Eight cardboard boxes are standing on the table. Two among them contain a present, the other six are empty. You are allowed to open two boxes. How much chance do you have to find at least one present? |
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| 7.
Peter, Mark, Anne and Rose are four good friends. They belong to a group of sixty pupils who are to be divided at random into three classes of twenty. What's the probability of all four friends sharing the same class? |
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| 8.
I have thirty socks in total disorder in my closet. Ten are black, ten are red and ten are brown, but I can't distinguish the colours in the dark. How many socks do I have to take to have at least one pair of the same colour? |
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| 9.
There are seven cups of tea. Two among them contain a deadly poison that acts within an hour. You and I both drink one cup simultaneously. How big is the chance that we both survive? |
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| 10.
If someone answers these ten multiple choice questions totally at random, what is the chance that he has all answers wrong? |
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