Answer
A) 0.350
B) 0.427
C) 0.489
D) 0.540
Work Step by Step
a) Use binomial coefficients to compute the probability.
Choose 0 out of the 6 correct integers and choose 6 of the remaining 34 integers.
This can be done in $\frac{\binom{6}{0}\binom{34}{6}}{\binom{40}{6}}=0.350
$
b) Use binomial coefficients to compute the probability.
Choose 0 out of the 6 correct integers and choose 6 of the remaining 42 integers.
This can be done in $\frac{\binom{6}{0}\binom{42}{6}}{\binom{48}{6}}=0.427
$
c) Use binomial coefficients to compute the probability.
Choose 0 out of the 6 correct integers and choose 6 of the remaining 50 integers.
This can be done in $\frac{\binom{6}{0}\binom{50}{6}}{\binom{56}{6}}=0.489
$
d) Use binomial coefficients to compute the probability.
Choose 0 out of the 6 correct integers and choose 6 of the remaining 50 integers.
This can be done in $\frac{\binom{6}{0}\binom{58}{6}}{\binom{64}{6}}=0.540
$
$
