Question:
Two dice are rolled simultaneously. The probability that they get different faces on both dices is,
दो पासों को एक साथ फेंका जाता है। दोनों पासों पर अलग-अलग फलक (different faces) आने की प्रायिकता क्या है?
Options:
- \(\dfrac{1}{6}\)
- \(\dfrac{1}{3}\)
- \(\dfrac{2}{3}\)
- \(\dfrac{5}{6}\)
- \(\dfrac{1}{6}\)
- \(\dfrac{1}{3}\)
- \(\dfrac{2}{3}\)
- \(\dfrac{5}{6}\)
Correct Answer: d)
Explanation:
Total outcomes when rolling two dice \(= 36\).
Outcomes with same faces (doubles) \(= 6\).
Outcomes with different faces \(= 36 – 6 = 30\).
Probability \(= \dfrac{30}{36} = \dfrac{5}{6}\).
कुल परिणाम \(= 36\)। दोनों पासों पर समान फलक के परिणाम \(= 6\)।
अलग-अलग फलक के परिणाम \(= 30\)।
प्रायिकता \(= \dfrac{30}{36} = \dfrac{5}{6}\)।