Answer
a. 0.145
b. 0.118
c. 0.414
d. 0.217
Work Step by Step
a. P(first heart is third) = $\frac{39}{52} * \frac{38}{51} * \frac{13}{50}$ = 0.145
b. P(all red) = $\frac{26}{52} * \frac{25}{51} * \frac{24}{50}$ = 0.118
c. P(no spades) = $\frac{39}{52} * \frac{38}{51} * \frac{37}{50}$ = 0.414
d. P(at least one ace) = 1 - P(no aces)
= 1- ($\frac{48}{52} * \frac{47}{51} * \frac{46}{50}$)
= 0.217
