32. a full set of scrabble tiles is shown in the diagram below. the last two tiles are the two…
32. a full set of scrabble tiles is shown in the diagram below. the last two tiles are the two \blanks\.\n32a one scrabble tile is drawn at random. what is the probability that it is a \b\ or an \s\?
Answer
Explanation:
Step1: Determine the total number of tiles
The image shows a standard Scrabble set arranged in 10 rows and 10 columns. $$10 \times 10 = 100$$
Step2: Count the number of "B" tiles
From the diagram, there are 2 "B" tiles. $$n(B) = 2$$
Step3: Count the number of "S" tiles
From the diagram, there are 4 "S" tiles. $$n(S) = 4$$
Step4: Calculate the total favorable outcomes
Sum the counts of "B" and "S" tiles. $$2 + 4 = 6$$
Step5: Calculate the probability
Divide the favorable outcomes by the total number of tiles. $$P(B \text{ or } S) = \frac{6}{100}$$
Step6: Simplify the fraction
Divide both numerator and denominator by 2. $$\frac{6 \div 2}{100 \div 2} = \frac{3}{50}$$
Answer:
$\frac{3}{50}$ (or 0.06)