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a roulette wheel has 18 red slots, 18 black slots and 1 green slot. a ball is released onto the spinning wheel and lands in one o f the slots. if you bet on te slot the ball lands in you win. a ed on red will pay

Sagot :

The number of possible wins if the ball lands on red is  4.86 games.

Let there be 100 successive spins,

Random Variable (winnings): $1, -$1

Associated probabilities:

P($1) = 18/38 =9/19

P(-1) = 20/38 = 10/19

Expected winnings is (9/19)*1 + (10/19)*-1

= -1/19 on one spin.

= -2/19 on two spins

= -2/19 on a single spin for $2

= -100/19 on 100 successive spins

since there are 100 spins,  n =100

18 out of 38 spots are red, thus p=18/37 =0.486

expected number of wins = np

= 100* 0.486

=4.86

Probability is synonymous with possibility. It is a mathematical branch that deals with the occurrence of a random event. The value ranges from zero to one. Probability has been introduced in mathematics to predict the likelihood of events occurring. Probability is defined as the degree to which something is likely to occur.

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