COMEDK · Maths · 36. Probability
A and B play a game where each is asked to select a number from 1 to 25 . If the two numbers match, both will win a prize. The probability that they will NOT win a prize in a single trial is
- A \(\dfrac{1}{25}\)
- B \(\dfrac{2}{25}\)
- C \(\dfrac{24}{25}\)
- D \(\dfrac{1}{25}\)
Answer & Solution
Correct Answer
(C) \(\dfrac{24}{25}\)
Step-by-step Solution
Detailed explanation
The total number of possible outcomes when A and B each select a number from 1 to 25 is \(25 \times 25 = 625\). The number of favorable outcomes where they select the same number is 25, which are (1,1), (2,2), ..., (25,25). The probability that they win a prize is…
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