#### Answer

a. $0.002$
b. $0.246$
c. $0.751$
d. $0.249$

#### Work Step by Step

Total red face cards=2*3=6
Total black cards numbered 2–9 = 8*2=16
Total outcomes of draw 4 cards from 22: $_{22}C_4$=7315
a. All 4 cards are red.
Choose all 4 from 6 red: $_6C_4$=15, $p=15/7315=0.002$
b. 2 cards are red and 2 cards are black.
Choices 2 red from 6 and 2 black from 16: $_6C_2$*$_{16}C_2$=1800, $p=1800/7315=0.246$
c. At least 1 of the cards is red.
For no card is red (all black): $_16C_4$=1820, $p=1-1820/7315=0.751$
d. All 4 cards are black.
$p=1820/7315=0.249$