Question

Direction: Read and understand each problem and solve. Show your solution if necessary.

Answer 1

[1] 0.25, 0.25%, or $\frac{1}{4}$

     We will divide the number of wanted outcomes by possible outcomes.

$\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{5}{3+5+12} =\frac{5}{20} =\frac{1}{4}$

[2]

     We will follow the same steps as problem 1.

MTHMTCS = 7 consonants

AEAI = 4  vowels

MTHEMTICS = 9 letters that are not A's

MATHEMATICS = total of 11 letters

(a)

$\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{7}{11}$

(b)

$\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{4}{11}$

(c)

$\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{9}{11}$

[3] 0.877

     If the probability that a television is defective is 0.123, then the probability that a television is not defective is:

1 - 0.123 = 0.877