Answer:
probability is [tex]\frac{2}{13}[/tex]
Step-by-step explanation:
A football team has 5 freshman, 8 sophmores, 11 juniors and 16 seniors.
total players = 5 + 8 + 11 + 16 = 40 players.
The probability that first player chosen to participate in the coin toss will be seniors ( [tex]P_{1}[/tex] ) = [tex]\frac{16}{40}[/tex]
The probability that second player chosen will be seniors ( [tex]P_{2}[/tex]) = [tex]\frac{15}{39}[/tex]
P = [tex]\frac{16}{40}[/tex] × [tex]\frac{15}{39}[/tex]
P = [tex]\frac{2}{13}[/tex]
The probability that both players chosen will be seniors is [tex]\frac{2}{13}[/tex]
