The odds of Macy passing her driver's test on the first try are 17:27 Determine the probability that she will pass her drivers test
A. 1.588 B) 0.614 C) 0.630 D) 0.386
Is it C? (0.17 x 0.27)
How do you get 0.630 by multiplying 0.17 * 0.27? I get 0.046 as the product.
17/(17+27) = 17/44 = 0.386
Odds of 3:4 mean there are 3 chances in favor, and 4 against, for a total of 7.
The probability is 3/7, because it will happen only 3/7 of the time. (yes=3, no=4)
To determine the probability that Macy will pass her driver's test, we need to use the given odds and convert them into a probability.
The odds of Macy passing her driver's test on the first try are given as 17:27. This means that out of a total of 17 + 27 = 44 outcomes, there are 17 favorable outcomes (Macy passing the test) and 27 unfavorable outcomes (Macy not passing the test).
To calculate the probability, we divide the number of favorable outcomes by the total number of outcomes:
Probability = Favorable outcomes / Total outcomes
In this case, the probability of Macy passing her driver's test on the first try is:
Probability = 17 / 44
To find the decimal form of this probability, divide 17 by 44:
Probability = 0.386
Now let's compare this result to the options provided:
A) 1.588
B) 0.614
C) 0.630
D) 0.386
The correct answer is D) 0.386, which matches the calculated probability.