Answer that green numbers and number out out red number less than

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Given that

= 2/38

= 1/19

P (a red number less than 10)

P(an even black )

18 even black out of 38

= npq

p = probability of success

q = 1 - 1 / 19

1 = 18 / 19

n = 1500 = sample size

p1 = proportion of sample = 77 %

test statistic is

z = [ p1 - p2 / root p(1-p){1/n1 + 1 /n2} ]

= 0.76

z = 0.02 / (0.76*0.24)* (2/1500) ^1/2

= 0.0998 from standard normal table

here pvalue is > , proportional = 0.05

When a very large number of rolls, i.e. 10000, in this case, the exact amount of rolls of each number tends to converge its expected value.

Hence,

Expected Pay-off $1.166667 * 10.000= $11,666.67

Expected \ Pay-off = -\$0.638889*10,000=-\$6,388.89