Answer
a. 0.783
b. 0.0013
c. 0.127
d. 0.586
Work Step by Step
a. P(no aces) = $\frac{48}{52} * \frac{47}{51} * \frac{46}{50}$ = 0.783
b. P(all hearts) = $\frac{13}{52} * \frac{12}{51} * \frac{11}{50}$ = 0.0013
c. P(first red third card) = $\frac{26}{52} * \frac{25}{51} * \frac{26}{50}$ = 0.127
d. P(at least one diamond) = 1 - P(no diamonds)
= 1 - ($\frac{39}{52} * \frac{38}{51} * \frac{37}{50}$) = 1 - 0.414 = 0.586
