Question

Joseph has a bag filled with 2 red, 4 green, 10 yellow, and 9 purple marbles. Determine P(not green) when choosing one marble from the bag.

92%
84%
48%
16%

Answer 1

Step-by-step explanation: 2 + 4 + 10 + 9 = 25, 2 + 10 +9 (Alternative: 25 - 4) = 21, 21 / 25 = 0.84 so the answer is 84%.

Answer 2

84%

Explanation:

Contents of the bag of marbles:

• Red = 2
• Green = 4
• Yellow = 10
• Purple = 9

Total marbles = 2 + 4 + 10 + 9 = 25

Probability formula:

`\boxed{\sf Probability\:of\:an\:event\:occurring = (Number\:of\:ways\:it\:can\:occur)/(Total\:number\:of\:possible\:outcomes)}`

Therefore, the probability of choosing a marble that is not green:

`\begin{aligned}\sf P(not\;green)&=(\sf red+yellow+purple)/(\sf total\;marbles)\\\\&=(2+10+9)/(25)\\\\&=(21)/(25)\\\\&=(21 * 4)/(25 * 4)\\\\&=(84)/(100)\\\\&=84\% \end{aligned}`