Abhay rolled a pair of die together. What is the probability that one die showed a multiple of 2 and the second die showed neither a multiple of 3 nor 2?
This questions was previously asked in
RBI Grade B 2016
Explanation:
- A standard die has numbers 1 to 6.
- Multiples of 2 on a die: 2, 4, 6.
- Neither a multiple of 3 nor 2: 1 or 5.
- Calculate probability for both conditions to occur:
1. Probability for a die to show a multiple of 2: 3 out of 6 (2, 4, or 6) = 3/6 = 1/2.
2. Probability for a die not showing multiple of 2 or 3: 2 out of 6 (1 or 5) = 2/6 = 1/3.
- Overall probability of both conditions: (1/2) * (1/3) = 1/6.
- ? Correct Answer: Option 3 - 1/6
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By: Parvesh Mehta