Multiple choice

Direction: The following question has two statements, (1) and (2). Answer the question using the following options: When one piece of fruit is taken at random from a fruit bowl, what is the chance that it is an apple? (1) There are half as many apples as oranges in the fruit bowl. (2) One third of the fruits in the fruit bowl are oranges.

  1. if statement (1) alone is sufficient but statement (2) alone is not

  2. if statement (2) alone is sufficient but statement (1) alone is not

  3. if both (1) and (2) together are sufficient but none of them alone is sufficient

  4. if both independently are sufficient

  5. if both statements (1) and (2) together are not sufficient
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let A be apples, O be oranges, X be others. (1) A = 0.5O. (2) O = (1/3)Total. Neither alone gives the probability A/Total. Together, A = 0.5 * (1/3)Total = (1/6)Total. Probability = 1/6.

AI explanation

Statement 1 alone gives a ratio of apples to oranges but provides no total count or proportion of the entire bowl. Statement 2 alone gives the proportion of oranges but mentions nothing about apples. Used together, if oranges are 1/3 of the bowl and apples are half of that, apples make up 1/6 of the bowl, making both statements required to find the probability.

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