Question

A card is chosen atrandom from a deck of playing cards. Find the prob
ability of getting.
a red card b) an ace
c) a diamond d) a black 4​

Answer 1

Answer:

P(A)=1/2, P(B)=1/13,P(C)=1/4, P(D)=1/26 or 1/2.

Step-by-step explanation:

n(S)=52

Let A be the event of getting a red card.

Total number of red cards =26

n(A)=26

P(A)= n(A)/n(S)

= 26/52

=1/2

Let B be the event of getting an ace.

Total number of ace=4

n(B)=4

P(B)= 4/52

=1/13

Let C be the event of getting a diamond card.

Total number of diamond cards =13

n(C)=13

P(C)=13/52

=1/4

Let D be the event of getting black card with number 4 or a black card.

*If it is a black card with number 4:

Total number of black cards with number 4=2

n(D)=2

P(D)= 2/52

=1/26

*If it is a black card:

Total number of black cards=26

n(D)=26

P(D)=26/52

=1/2.