1 In the game of roulette in the United States a wheel has 3

1. In the game of roulette in the United States a wheel has 38 slots: 18 slots are black, 18 slots are red, and 2 slots are green. We watched a friend play roulette for two hours. In that time we noted that the wheel was spun 50 times and that out of those 50 spins black came up 22 times. Based on this data, the This is an example of what type of probability?

Solution

No of slots = 38

Black = 18, Red = 18, green =2

Prob for black = 18/38=0.474

Expected value of black in 50 times = 50(18/38) =23.68

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Observed value in rolling 50 times actually = 22

OBserved probability = 22/50 = 0.44

Thus this probability of 0.44 is observed prob while 0.474 is the empirical probability