Answer:
a)P=0.145
b)P=0.116
c)P=0.413
d)P=0.884
Step-by-step explanation:
We know that Total number of cars is 52 .26 red and 26 is black.
13 are hearts ,13 are diamonds,13 are clubs,13 are spades.
a)
Probability P (first club get is the third card dealt)=P(Non-club x Non club x club)
So [tex]P=\dfrac{39}{52}\times \dfrac{38}{51}\times \dfrac{13}{50}[/tex]
P=0.145
b)
[tex]P( all\ are\ black)=\dfrac{26}{52}\times \dfrac{25}{51}\times \dfrac{24}{50}[/tex]
P=0.116
c)
[tex]P( no\ heart)=\dfrac{39}{52}\times \dfrac{38}{51}\times \dfrac{37}{50}[/tex]
P=0.413
d)
[tex]P( at\ least\ one red)=1-P(no\ red)[/tex]
[tex]P(no\ red)=\dfrac{26}{52}\times \dfrac{25}{51}\times \dfrac{24}{50}[/tex]
[tex]P(no\ red)=0.116[/tex]
[tex]P( at\ least\ one red)=1-0.116[/tex]
[tex]P( at\ least\ one\ red)=0.884[/tex]
