Answer and Explanation:
The probability of pulling out a red or blue marble can be represented by the equation:
[tex]P(\text{red or blue}) = \dfrac{\#\text{ red} + \#\text{ blue}}{\text{total}}[/tex]
↓ plugging in the given values
[tex]P(\text{red or blue}) = \dfrac{88 + 1515}{88 + 1515+22}[/tex]
↓ simplifying the fraction
[tex]P(\text{red or blue}) = \boxed{\dfrac{1603}{1625}}[/tex]
↓ evaluating as a percent
[tex]P(\text{red or blue}) \approx \boxed{98.64\%}[/tex]
The probability of drawing a red or blue marble from a bag containing 15 blue, 8 red, and 2 green marbles is 23 out of 25, which equals 0.92 after rounding to two decimal places.
The question asks for the probability of drawing a red or blue marble from a bag containing 15 blue marbles, 8 red marbles, and 2 green marbles. To find this probability, add the number of red marbles to the number of blue marbles and then divide by the total number of marbles. The calculation is as follows:
This result means that the probability of drawing a red or blue marble from the bag is 23/25, or 0.92 when rounded to two decimal places.
