Question

anton will spin the arrow on the spinner. what is the probability that the arrow will stop on a section labeled with a number greater than 2?
if a letter is chosen at random from the word \baseball,\ what is the probability that the letter chosen is not an l?
a bag contains 2 red marbles and 3 blue marbles. if one marble is drawn at random, what is the probability that it is red?

Explanation:

Step1: Determine total outcomes for spinner

There are 3 sections on the spinner, so total outcomes = 3.

Step2: Determine favorable outcomes for spinner

Numbers greater than 2 on the spinner are 3 and 4, so favorable outcomes = 2.

Step3: Calculate probability for spinner

Probability = $\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}=\frac{2}{3}$.

Step4: Determine total letters in "BASEBALL"

The word "BASEBALL" has 8 letters, so total outcomes = 8.

Step5: Determine number of non - L letters in "BASEBALL"

There are 6 non - L letters in "BASEBALL", so favorable outcomes = 6.

Step6: Calculate probability for "BASEBALL"

Probability = $\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}=\frac{6}{8}$.

Step7: Determine total marbles in bag

There are 2 red + 3 blue = 5 marbles in the bag, so total outcomes = 5.

Step8: Determine number of red marbles

There are 2 red marbles, so favorable outcomes = 2.

Step9: Calculate probability for marbles

Probability = $\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}=\frac{2}{5}$.

Answer:

1. B. $\frac{2}{3}$
2. C. $\frac{6}{8}$
3. B. $\frac{2}{5}$