Multiple choice

A bag contains 4 apples and 3 oranges. 2 fruits are picked at random without replacement. Find the probability of picking up an apple after an orange.

  1. 0.269

  2. 0.275

  3. 0.285

  4. 0.296
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C Correct answer
Explanation

Total fruits = 7. P(Orange first) = 3/7. Remaining fruits = 6 (4 apples, 2 oranges). P(Apple second | Orange first) = 4/6 = 2/3. Total probability = (3/7) * (2/3) = 2/7 = 0.2857.

AI explanation

Using the multiplication rule for dependent events, the probability of picking an orange first and an apple second is the product of their individual probabilities. The probability of drawing an orange first is 3/7, and the probability of drawing an apple second is 4/6. Multiplying these fractions gives 12/42, which reduces to 2/7, or approximately 0.285.

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