Question:
In a single throw of two dice, the probability of getting 12 as a product of two numbers obtained is:
दो पासों की एक एकल फेंक में, प्राप्त दो संख्याओं का गुणनफल 12 होने की प्रायिकता क्या है?
Options:
- \(\dfrac{5}{9}\)
- \(\dfrac{2}{9}\)
- \(\dfrac{1}{9}\)
- \(\dfrac{4}{9}\)
- \(\dfrac{5}{9}\)
- \(\dfrac{2}{9}\)
- \(\dfrac{1}{9}\)
- \(\dfrac{4}{9}\)
Correct Answer: c)
Explanation:
Pairs whose product is 12 are \(\{(2,6), (3,4), (4,3), (6,2)\}\) (4 outcomes out of 36).
\(P = \dfrac{4}{36} = \dfrac{1}{9}\).
गुणनफल 12 प्राप्त होने के अनुकूल परिणाम: \(\{(2,6), (3,4), (4,3), (6,2)\}\) (कुल 4)।
प्रायिकता \(= \dfrac{4}{36} = \dfrac{1}{9}\)।