Suppose that a ball is selected at random from an urn with balls numbered from 1 to 100, and without replacing that ball in the urn, a second ball is selected at random. What is the probability that:
1. The sum of two balls is below five.
2. Both balls have odd numbers.
3. Two consecutive numbers ar chosen, in ascending order
There are balls number from 1 to 100. Number of ways in which 2 balls can be picked =
1. Cases where the two balls sums below 5 =
(1,3) ; (2,2) ; (3,1) ; (1,2) ; (2,1) ; (1,1)
Number of ways the two balls sums up to 5
P(Number of ways the two balls sums up to 5) =
2. Number of cases where both the balls are odd numbers =
P(Both balls have odd numbers)
3. Number of cases where two consecutive numbers are chosen (in ascending order)
P(Two consecutive numbers ar chosen, in ascending order)
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