Question

# A roulette wheel has 38 slots, numbered 1 to 36, with two additional green slots labeled...

A roulette wheel has 38 slots, numbered 1 to 36, with two additional green slots labeled 0 and 00. Jim, a dealer at a roulette table, tests the roulette wheel by spinning a ball around the wheel repeatedly and seeing where the ball lands. The ball has an equally likely chance of landing in each slot. If Jim spins the ball around the wheel 20 times, what is the probability that the ball lands in a green slot at most once? Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability.

Here a roulette wheel has 38 slots, and there are 2 green slots ,

So probability that ball lands on green slots is 2/38

i.e. p=2/38 = 1/19

And Jim spins the ball around the wheel 20 times

So n=20

Here this is Binomial Distribution with parameters n=20 and p=1/19

We have to find probability that ball lands in a green slots at most once is,

By using TI-84 calculators,

binompdf(20, 1/19, 0)+binompdf(20,1/19,1)

0.3391+0.3768

0.7159

0.716

The probability that the ball lands in a green slot at most one is 0.716

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