SOLUTION: A probability experiment consist of two possible outcomes: Event A and Event B. Event A is 3 times more likely that Event B. Calculate the probability of Event A (rounded to two de

Question 729071: A probability experiment consist of two possible outcomes: Event A and Event B. Event A is 3 times more likely that Event B. Calculate the probability of Event A (rounded to two decimals).
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let x = P(B)

P(A) = 3*P(B) ... This is given when you are told that "Event A is 3 times more likely that Event B"

There are only two outcomes A and B. So their probabilities must add to 1

P(A) + P(B) = 1

3*P(B) + P(B) = 1

3*x + x = 1

4x = 1

x = 1/4

P(B) = 1/4 = 0.25

P(A) = 3*P(B)

P(A) = 3*(1/4)

P(A) = 3/4 = 0.75

So the probability of event A is 0.75
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A probability experiment consist of two possible outcomes: Event A and Event B. Event A is 3 times more likely that Event B. Calculate the probability of Event A (rounded to two decimals).
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Let P(A) = 3x
Let P(B) = x
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Equation:
x + 3x = 1
4x = 1
x = 1/4 (Probability of B)
3x = 3/4 (Probability of A)
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Cheers,
Stan H.
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