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 event a (coin flip)

A fair coin has 2 equal outcomes: heads or tails. The event is just as likely to occur as not.
Probability formula: $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{1}{2}$

Step2: Analyze event b (Tuesday after Monday)

This is a fixed weekly occurrence, so it is certain to happen.
Probability as percent: $100\%$

Step3: Analyze event c (red shirt from white shirts)

There are no red shirts, so the event is impossible.
Probability formula: $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{0}{\text{Total white shirts}} = 0$

Step4: Analyze event d (yellow ball draw)

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

Answer:

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