Question

g. calculate p(number less than 2).

1. determine whether each event is certain to occur, just as likely to occur as not to occur, or impossible to occur. then, write the probability.

a. a coin is flipped and the coin lands heads up. express the probability as a fraction.
b. tuesday follows monday in the week. express the probability as a percent.
c. you have only white shirts in your closet. express the probability of reaching into your closet and choosing a red shirt as a fraction.
d. a box contains 2 green balls and 2 yellow balls. you reach into the box and grab a yellow ball. express the probability as a decimal.

Explanation:

Step1: Analyze coin flip (a)

A coin has 2 outcomes: heads, tails. Probability = $\frac{\text{Favorable outcomes}}{\text{Total outcomes}} = \frac{1}{2}$. This is just as likely to occur as not.

Step2: Analyze weekday event (b)

Tuesday always follows Monday, so it is certain. Probability = $1 = 100\%$.

Step3: Analyze shirt selection (c)

No red shirts exist, so the event is impossible. Probability = $\frac{0}{\text{Total white shirts}} = \frac{0}{1}$ (simplified).

Step4: Analyze ball selection (d)

Total balls = $2+2=4$. Favorable (yellow) = 2. Probability = $\frac{2}{4} = 0.5$. This is just as likely to occur as not.

Answer:

a. Just as likely to occur as not; $\frac{1}{2}$
b. Certain to occur; 100%
c. Impossible to occur; $\frac{0}{1}$
d. Just as likely to occur as not; 0.5