Question

the image shows an opened package of m&ms. mark each statement that is true if you randomly chose one m&m from the bag.(select all that apply.)□ you are more likely to pick a purple m&m than picking a yellow m&m.□ you are more likely to pick a pink m&m than any other color of m&m.□ you are more likely to pick a purple or yellow m&m than you are to pick a pink m&m.□ the probability of picking a pink m&m from the bag is 70%.□ the probability of picking a blue m&m from the bag is 25%.

Explanation:

Step1: Count total & each color M&Ms

Count: Total = 20; Purple = 4, Yellow = 4, Blue = 5, Pink = 7

Step2: Compare purple vs yellow counts

Purple count = 4, Yellow count = 4. Probabilities equal.

Step3: Check pink's relative probability

Pink count (7) > all other colors (max other =5).

Step4: Check purple/yellow vs pink count

Purple+Yellow = 4+4=8 > Pink (7).

Step5: Calculate pink probability

$\text{Probability (Pink)} = \frac{7}{20} = 0.35 = 35\%$

Step6: Calculate blue probability

$\text{Probability (Blue)} = \frac{5}{20} = 0.25 = 25\%$

Answer:

• You are more likely to pick a pink M&M than any other color of M&M.
• You are more likely to pick a purple or yellow M&M than you are to pick a pink M&M.
• The probability of picking a blue M&M from the bag is 25%.