Respuesta :
Prob( drawing a black sock) = 1/5
Prob ( drawing a red sock) = 3/5
These 2 events are independent so they are multiplied:-
P(black then red sock) = 1/5 * 3/5 = 3/25 Answer
Answer:
the probability that he will draw a black sock and then a red sock, P(black, then red) is:
3/25=0.12
Step-by-step explanation:
Luka has a bag containing 5 socks: 3 red, 1 white, and 1 black.
Let A denote the event of drawing a first black sock.
and B denote the event of drawing a second red sock.
Hence, A∩B denote the event of drawing a black and then a red sock.
As the drawing of a second sock is done by replacement.
Hence, the probability of two events is independent.
i.e. P(A∩B)=P(A)×P(B)
Now,
P(A)=1/5
(Since there are 1 black sock out of total 5 sock)
and P(B)=3/5
(Since there are a total of 3 red socks out of total 5 sock)
Hence,
P(A∩B)=(1/5)×(3/5)=3/25
Hence, the probability is:
3/25=0.12
