1. I have three cards, identical in size and shape, and bearing no distinguishing marks other than plain colours on their faces. One card is Orange on both faces, one is Blue on both faces, and one is Orange on one face and Blue on the other. I show all the cards to you, to that you can ohs.ve the distribution of colours. I then put the cards behind my back and select one at random (with an equal probability of choosing any card) and show you only one face of that card. You observe that it is Blue. What is the probability that the reverse face is also Blue? (5 marks)
1 Probability of a kid being boy is 0.5 and the probability of a kid being girl is also 0.5. Imagine that a couple has two lids who are not twins.
a. If one of the kids is a boy, then what is the probability of the other being a boy?
b. If the first kid is a boy, then what is the probability of the other being a boy? la it different from the case in 'a'. (7.5 marks)
3. I have a deck ofjust 8 cards, consisting of 4 kings and 4 queens as are normally found in a deck. You are dealt two cards. To win, both your cards must be kings. Consider the two statements a) 011C of your cards is a king. b) One of your cards is the king of spades. Which of the Statements give you a higher probability of winning in the theoretical sense? (7.5 marks)
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