Question

The probability for event A is 0. 3, the probability for event B is 0. 5, and the probability of events A and B is 0. 25. Are the events independent? , because.

Answer 1

The probability helps us to know the chances of an event occurring. The two events can not be independent.

What is Probability?

The probability helps us to know the chances of an event occurring.

$\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

As it is given that the probability of event A is 0.3, while the probability of event B is 0.5. And the probability of events A and B is 0.25.

Since we know that the probability of two independent events occurring together is given by the formula,

$P\rm{(A\ and\ B)}=P(A) \times P(B)$

Therefore, the probability of two events together can be written as,

$P\rm{(A\ and\ B)}=P(A) \times P(B)$

                   $=0.3 \times 0.25\\\\=0.075$

Since the probability of the two events occurring together if the two independent events are 0.075, therefore, the two events can not be independent.

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