Answer:
The correct answer is:
(a) 0.0784
(b) 0.0588
(c) 0.1493
Step-by-step explanation:
According to the question,
Number or ace or king,
n (ace or king) = 8
Number of red,
n (red) = 26
Number of club,
n (club) = 13
Number or jack,
n (jack) = 4
(a)
Probability of 1st ace or king and 2nd in red will be:
⇒ [tex]P(ist \ ace \ or \ king \ and \ 2nd \ red) = \frac{8}{52}\times\frac{26}{51}[/tex]
⇒ [tex]=0.0784[/tex]
(b)
Probability of both clubs will be:
⇒ [tex]P(clubs) =\frac{13C_2}{52C_2}[/tex]
⇒ [tex]=0.0588[/tex]
(c)
Probability of at least one is jack will be:
⇒ [tex]P(at \ least \ one \ is \ jack)=1-P(none \ jack)[/tex]
⇒ [tex]=1-\frac{48C_2}{52C_2}[/tex]
⇒ [tex]=0.1493[/tex]
