Two dice are thrown together. The probability of getting the same number on both dice is
- \(\frac{1}{2}\)
- \(\frac{1}{3}\)
- \(\frac{1}{6}\)
- \(\frac{1}{12}\)
The Correct Option is C
Solution and Explanation
When two dice are thrown together, each die has 6 faces. The total number of possible outcomes is: \[ 6 \times 6 = 36 \] The favorable outcomes for getting the same number on both dice are: \[ (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6) \] There are 6 favorable outcomes. Therefore, the probability of getting the same number on both dice is: \[ \frac{6}{36} = \frac{1}{6} \]
The correct option is (C): \(\frac{1}{6}\)
Top Questions on Probability
Based upon the results of regular medical check-ups in a hospital, it was found that out of 1000 people, 700 were very healthy, 200 maintained average health and 100 had a poor health record.
Let \( A_1 \): People with good health,
\( A_2 \): People with average health,
and \( A_3 \): People with poor health.
During a pandemic, the data expressed that the chances of people contracting the disease from category \( A_1, A_2 \) and \( A_3 \) are 25%, 35% and 50%, respectively.
Based upon the above information, answer the following questions:
(i) A person was tested randomly. What is the probability that he/she has contracted the disease?}
(ii) Given that the person has not contracted the disease, what is the probability that the person is from category \( A_2 \)?- If A and B are two events such that $P(B) = \frac{1}{5}$, $P(A | B) = \frac{2}{3}$ and $P(A \cup B) = \frac{3}{5}$, then $P(A)$ is :
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- A meeting will be held only if all three members A, B and C are present. The probability that member A does not turn up is 0.10, member B does not turn up is 0.20 and member C does not turn up is 0.05. The probability of the meeting being cancelled is:
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