Saturday, September 1, 2007

Events which are "Equally Likely to Happen"

Determine which of the following is true:

1. Mr. Chiu plays chess with Fat Chuen. He will either win, lose, or get a draw. As a result the probability that Mr. Chiu win is 1/3.

2. Mr. Chiu plays the famous lottery style game "Mark Six". He selects 6 numbers out of a possible 49 and it costs him $5. He will either win or lose. The probability of getting a prize is 1/2.

3. There are 2 red and 3 white balls in a bag. One ball is drawn out randomly. The probability of getting a red ball is 1/2.

4. A coin is tossed 2 times. Denote a head by H and a tail by T. There are 3 possible outcomes: 2H, 1H and 1T, 2T. Consequently the chance of getting 2 heads is 1/3.

5. 2 dice are thrown. The sum of the 2 numbers faced up is lying between 2 and 12. The probability of getting a 'double six' is hence 1/11.

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