Question

question 1
10 pts
the probability of an event a is given by which formula?
(favorable outcomes means the number of ways a occur.)
\\(p(a) = \frac{\text{favorableoutcomes}}{\text{totaloutcomes}}\\)
\\(p(a) = \text{totaloutcomes} - \text{favorableoutcomes}\\)
\\(p(a) = \frac{\text{totaloutcomes}}{\text{favorableoutcomes}}\\)
\\(p(a) = 1 - \text{totaloutcomes}\\)

Explanation:

Define probability of an event

$$ P(A) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} $$

Match with given options

$$ P(A) = \frac{\text{FavorableOutcomes}}{\text{TotalOutcomes}} $$

Answer:

• (A) \(P(A) = \frac{\text{FavorableOutcomes}}{\text{TotalOutcomes}}\) (Correct answer)
• (B) \(P(A) = \text{TotalOutcomes} - \text{FavorableOutcomes}\)
• (C) \(P(A) = \frac{\text{TotalOutcomes}}{\text{FavorableOutcomes}}\)
• (D) \(P(A) = 1 - \text{TotalOutcomes}\)