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Question

What does it mean to say that two events are independent?

how can you figure out the probability that two independent events will occur together?

Suppose you are walking throught the school and there is an equal probability that each person you meet wii be MALE OR A FEMALE. You have passed 30 people, 12 of them male and 18 of them female. What is the probability that the next person you meet will be male?

Answer 1

Independent means that the outcome of one event does not impact the probability of the outcome of the other event.

The combined probability of two independent event is the product of the individual probabilities.

The people problem is not exactly independent. If you are walking in the same direction, you won't pass the same people again. If it were truly independent, the probability of the next person being male would be 50%. Since it is not, the probability is higher than 50%, depending on how many people are in your school.

Answer 2

Even. To say an event is independent means that what ever comes before it in event does not effect the outcome.

Answer 3

50%, because a total is not given in overall and in the number of males and females and females. Since the totals are open ended and there are just males and females, the result is 50% chance. It's the old flip a coin tale of randomness. Just because you flip a coin 30 times and they all come up heads, doesn't mean the 31st try won't come up tails.

Answer 4

still the probability of next person male is 0.5 and female is 0.5.
because they are independent by which it means, occurance of one event ( person coming out be male) does not depend on the other event.

Answer 5

a) independent events happen regardless of other events
b) the probability of the first event happening multiplied by the probability of the second event
c) 50%