A bag contains 5 oranges, 4 bananas and 3 apples. Rohit wants to eat a banana…
2024
A bag contains 5 oranges, 4 bananas and 3 apples. Rohit wants to eat a banana or an apple. He draws a fruit from the bag randomly. What is the probability that he will get a fruit of his choice?
- A.
3.5/12
- B.
7/12
- C.
5/12
- D.
None of the above
Attempted by 1 students.
Show answer & explanation
Correct answer: B
Concept: When all outcomes are equally likely, the probability of an event is the number of favorable outcomes divided by the total number of possible outcomes (classical probability).
Find the total number of fruits in the bag: 5 oranges + 4 bananas + 3 apples = 12 fruits total.
Find the number of favorable outcomes — fruits Rohit is happy with (banana or apple): 4 + 3 = 7 fruits.
Apply the formula: probability = favorable outcomes / total outcomes = 7/12.
Cross-check: The only other outcome is drawing an orange, with probability 5/12. Since 5/12 + 7/12 = 12/12 = 1, the two probabilities correctly account for every possible draw, confirming 7/12 is correct.