Question
Answer questions 1-2 using the following scenario: You have a bowl of skittles: 10 are blue, 12 are red 7 are green, and 5 are yellow. 1. What is the probability of getting a blue skittle? a 29.4% b. 35.3% C. 20.6% d. 14.7% 2.What's the probability of getting a red skittle OR a green skittle? a. 35.3% b. 20.6% C. 55.9% d. 19%
Solution
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BartholomewElite · Tutor for 8 years
Answer
### 1. a. $29.4\%$<br />### 2. c. $55.9\%$
Explain
## Step 1: Calculate the total number of skittles.<br />### We sum the number of skittles of each color: $10 + 12 + 7 + 5 = 34$.<br />## Step 2: Calculate the probability of getting a blue skittle.<br />### The probability is the number of blue skittles divided by the total number of skittles: $\frac{10}{34} \approx 0.294$. Converting to percentage, we get $0.294 \times 100\% = 29.4\%$.<br />## Step 3: Calculate the probability of getting a red skittle.<br />### The probability is the number of red skittles divided by the total number of skittles: $\frac{12}{34} \approx 0.353$. Converting to percentage, we get $0.353 \times 100\% = 35.3\%$.<br />## Step 4: Calculate the probability of getting a green skittle.<br />### The probability is the number of green skittles divided by the total number of skittles: $\frac{7}{34} \approx 0.206$. Converting to percentage, we get $0.206 \times 100\% = 20.6\%$.<br />## Step 5: Calculate the probability of getting a red OR a green skittle.<br />### The probability is the sum of the probabilities of getting a red skittle and a green skittle: $\frac{12}{34} + \frac{7}{34} = \frac{19}{34} \approx 0.559$. Converting to percentage, we get $0.559 \times 100\% = 55.9\%$.
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