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Question
according to the m&m’s company, the distribution of colors in a bag of milk chocolate m&m’s is
| color | probability |
|---|---|
| yellow | 0.14 |
| red | 0.13 |
| orange | 0.20 |
| blue | 0.24 |
| green | 0.16 |
the probability that a randomly chosen m&m is red or orange is ______.
Step1: Identify probabilities
Probability of red (P(Red)) = 0.13, Probability of orange (P(Orange)) = 0.20.
Step2: Apply addition rule (mutually exclusive events)
For mutually exclusive events (a candy can't be both red and orange), \( P(\text{Red or Orange}) = P(\text{Red}) + P(\text{Orange}) \).
Substitute values: \( 0.13 + 0.20 = 0.33 \).
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0.33