Total Number of Marbles:
To find the total number of marbles in the bag, we add the number of blue marbles and purple marbles:
- Blue marbles: 14
- Purple marbles: 14
Total marbles = 14 + 14 = 28 marbles
Probability of Drawing a Purple Marble:
The probability of drawing a purple marble can be calculated by dividing the number of purple marbles by the total number of marbles.
- Number of purple marbles: 14
- Total number of marbles: 28
Fraction: \[ \text{Probability (Fraction)} = \frac{\text{Number of purple marbles}}{\text{Total number of marbles}} = \frac{14}{28} = \frac{1}{2} \]
Decimal: \[ \text{Probability (Decimal)} = \frac{1}{2} = 0.5 \]
Percent: \[ \text{Probability (Percent)} = 0.5 \times 100 = 50% \]
Summary of Probability:
- Fraction: \(\frac{1}{2}\)
- Decimal: \(0.5\)
- Percent: \(50%\)
Question 2: Likelihood of Drawing a Purple Marble
Since the probability of drawing a purple marble is 50%, the best description of the likelihood of randomly drawing a purple marble would be:
Response: neither unlikely nor likely.