KCET · Maths · Probability
Probability of obtaining an even prime number on each die when a pair of dice is rolled is
- A \(0\)
- B \(\dfrac{1}{6}\)
- C \(\dfrac{1}{12}\)
- D \(\dfrac{1}{36}\)
Answer & Solution
Correct Answer
(D) \(\dfrac{1}{36}\)
Step-by-step Solution
Detailed explanation
The only even prime number on a die is \(2\).
When a pair of dice is rolled, the total number of possible outcomes is \(6 \times 6 = 36\).
The favorable outcome of obtaining an even prime number on each die is \((2, 2)\).
Number of favorable outcomes is \(1\).
Required probability is \(\dfrac{1}{36}\).
Answer: \(\dfrac{1}{36}\)
When a pair of dice is rolled, the total number of possible outcomes is \(6 \times 6 = 36\).
The favorable outcome of obtaining an even prime number on each die is \((2, 2)\).
Number of favorable outcomes is \(1\).
Required probability is \(\dfrac{1}{36}\).
Answer: \(\dfrac{1}{36}\)
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