Answer:
The probability that A and B both occur events
[tex]P(An B) = \frac{10}{21}=0.4761[/tex]
Step-by-step explanation:
Explanation:-
Given data the probability that event A occurs is 5/7
[tex]P(A) = \frac{5}{7}[/tex]
The probability that even B occurs is 2/3
[tex]P(B) = \frac{2}{3}[/tex]
Independent events:-
If the occurrence of the event 'B' is not effected by the occurrence or non-occurrence of the event 'A' , then the event 'B' is said to be independent of A.
A and B are independents events P(A∩B) = P(A) P(B)
The probability that A and B both occur events
P(A∩B) = P(A) P(B)
[tex]P(A nB) = \frac{5}{7} X \frac{2}{3}[/tex]
[tex]P(An B) = \frac{10}{21}[/tex]
[tex]P(An B) = \frac{10}{21}=0.4761[/tex]
Conclusion:-
The probability that A and B both occur events
[tex]P(An B) = \frac{10}{21}=0.4761[/tex]
