Hania23idn
Answered

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rhian likes to wear colored shirts.She has 15 shirts in the closet. Five of these are blue,four are in different shades of red,and the rest are of different colors.What is the probability that she will wear a blue or a red shirt?

Sagot :

Noelarcallanaidn
This is an example of a problem involving mutually exclusive events, which are events that cannot occur at the same time.

See a more detailed explanation about mutually exclusive events at this link: https://brainly.ph/question/279424

Hence, we use the formula P(A or B) = P(A) + P(B).

a. The probability of wearing a blue shirt is [tex] \frac{5}{15}= \frac{1}{3} [/tex]
b. The probability of wearing a red shirt is [tex] \frac{4}{15} [/tex]

Therefore, the probability that Rhian will wear a blue or a red shirt is [tex] \frac{5}{15}+ \frac{4}{15}= \frac{9}{15}= \frac{3}{5}[/tex] or 0.6.
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