Respuesta :
to find P(A and B) you multiply the individual probabilities so we have:-
P(A) * P( B) = 1/8
1/6 * P(B) = 1/8
P(B) = 1/8 * 6 = 3/4 = 0.75 as a decimal
P(A) * P( B) = 1/8
1/6 * P(B) = 1/8
P(B) = 1/8 * 6 = 3/4 = 0.75 as a decimal
If two events, A and B, are independent of each other. Then the probability of event B is 3/4 or 0.75.
Which pair of events are called independent events?
When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of other events, then such events are called independent events.
Symbolically, we have:
Two events A and B are said to be independent if we have:
[tex]\rm P(A \cap B) = P(A)P(B)[/tex]
Two events, A and B, are independent of each other. P(A) = 1/6 and P(A and B) = 1/8.
Then the probability of the event B will be
[tex]\rm P(A \cap B) = P(A)P(B)\\\\P(B) = \dfrac{P(A \cap B)}{P(A)}\\\\P(B) = \dfrac{1/8}{1/6}\\\\P(B) = \dfrac{6}{8}\\\\P(B) = \dfrac{3}{4} = 0.75[/tex]
Learn more about probability here:
brainly.com/question/1210781
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