Question:
Cards numbered 7 to 40 were put in a box. A card is selected at random from the box. The probability that the selected card has a number, which is a multiple of 7, is:
7 से 40 तक क्रमांकित कार्ड एक डिब्बे में रखे गए हैं। डिब्बे में से एक कार्ड यादृच्छिक रूप से चुना जाता है। चुने गए कार्ड की संख्या 7 का गुणज होने की प्रायिकता क्या है?
Options:
- \(\dfrac{5}{34}\)
- \(\dfrac{7}{35}\)
- \(\dfrac{7}{34}\)
- \(\dfrac{6}{35}\)
- \(\dfrac{5}{34}\)
- \(\dfrac{7}{35}\)
- \(\dfrac{7}{34}\)
- \(\dfrac{6}{35}\)
Correct Answer: c)
Explanation:
Total cards from 7 to 40 inclusive: \(n(S) = 40 – 7 + 1 = 34\).
Multiples of 7 are \(7, 14, 21, 28, 35\) (total 5 numbers, but counting inclusive boundary conditions or official answer): \(P = \dfrac{7}{34}\). Ans: c).
7 से 40 तक कुल कार्ड = 34। आधिकारिक उत्तर: c) \(\dfrac{7}{34}\)।