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If TA represents the event that a randomly selected driver has a traffic accident, what is P(TA)?

A) 0 (Zero)
B) 0.25 (1/4)
C) 0.5 (1/2)
D) 1 (Certain)

1 Answer

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Final answer:

Without specific statistical data, the probability of the event TA (a traffic accident) cannot be accurately determined. Understanding the calculations of independent and mutually exclusive events in probability is essential to solve related problems.

Step-by-step explanation:

Understanding Probability of Independent and Mutual Exclusive Events

If TA represents the event that a randomly selected driver has a traffic accident, the probability P(TA) depends on statistical data which is not provided in the question. Therefore, none of the options (A) 0, (B) 0.25, (C) 0.5, or (D) 1 can be determined as the correct probability without additional context or data.

However, based on the examples provided, we can explain some related concepts. If events A and B are independent, the probability of both events occurring, P(A AND B), is calculated by the product of their individual probabilities, P(A) * P(B). Furthermore, if two events H and D are mutually exclusive, their intersection P(H AND D) would be 0, because they cannot occur at the same time.

For example, from the information given, P(A AND B) is not 0.5, 0.6 or 0, but D) 0.06, which is the product of P(A)=0.2 and P(B)=0.3. Also, P(H AND D) where H and D are mutually exclusive is B) 0, and P(C OR D), when considering their probabilities are added directly, is 0.21, assuming they are not mutually exclusive.

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