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A menu has nine options: chicken, steak, fish, broccoli, spinach, two types of carrots, and two breads. What is the probability of ordering chicken or spinach?

a) Approximately
0.2222
0.2222
b) Approximately
0.4444
0.4444
c) Approximately
0.5556
0.5556
d) Approximately
0.6667
0.6667

1 Answer

3 votes

Final answer:

The probability of ordering chicken or spinach from a menu with nine options is calculated by adding the individual probabilities (1/9 + 1/9), which equals 2/9 or approximately 0.2222.

Step-by-step explanation:

The probability of ordering either chicken or spinach from a menu with nine options can be determined by adding the individual probabilities of selecting each of those items, assuming you can only choose one item. Since there are nine options on the menu, each option has a probability of 1/9 of being selected. To calculate the probability of choosing chicken or spinach, you would add the probability of choosing chicken (1/9) to the probability of choosing spinach (1/9), since these are mutually exclusive events.

Therefore, P(chicken or spinach) = P(chicken) + P(spinach)
= 1/9 + 1/9
= 2/9.

The decimal form of 2/9 is approximately 0.2222, so the correct answer is a) Approximately 0.2222.

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