section 5.2 homework\nscore: 0/15 answered: 0/15\nquestion 1\na bag of m&ms has 5 red, 4 green, 3 blue, and…

section 5.2 homework\nscore: 0/15 answered: 0/15\nquestion 1\na bag of m&ms has 5 red, 4 green, 3 blue, and 2 yellow m&ms. what is the probability of randomly picking: (round to 4 decimal places)\na) a yellow?\nb) a blue or green?\nc) a red or blue or yellow?
Answer
Explanation:
Step1: Calculate total number of M&M's
$5 + 4+3 + 2=14$
Step2: Calculate probability of picking a yellow
The number of yellow M&M's is 2. Probability formula is $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P(\text{yellow})=\frac{2}{14}\approx0.1429$
Step3: Calculate number of blue or green M&M's
Number of blue is 3 and green is 4. So number of blue or green is $3 + 4 = 7$. Then $P(\text{blue or green})=\frac{7}{14}= 0.5000$
Step4: Calculate number of red or blue or yellow M&M's
Number of red is 5, blue is 3 and yellow is 2. So number of red or blue or yellow is $5+3 + 2=10$. Then $P(\text{red or blue or yellow})=\frac{10}{14}\approx0.7143$
Answer:
a) $0.1429$ b) $0.5000$ c) $0.7143$