Answer:
Step-by-step explanation:
No of ways in which 5 cards are chosen is [tex]N=^{52}C_5[/tex]
No of ways in which at most 4 cards are spades [tex]N_0=[/tex]Total ways-5 spades
[tex]=^{52}C_5-^{13}C_5[/tex]
Probability that at most 4 cards are spade [tex]P=\frac{N_0}{N}[/tex]
[tex]P=\frac{^{52}C_5-^{13}C_5}{^{52}C_5}[/tex]
[tex]P=\frac{2598960-1287}{2598960}[/tex]
[tex]P=\frac{2597673}{2598960}=0.9995[/tex]
