For this to happen, A must win at least m out of the first m + n - 1 games. Therefore, the required probability is `""^(m+n-1)C_(m)p^(m)q^(n-1)+""^(m+n-1)C_(m+1)p^(m+1)q^(n-2)+...+""^(m+n-1)C_(m+n-1)p^(m+n-1)`
Let A be the event of `P_(1)` winning in third round and B be the event of `P_(2)` winning in first round but ossing in second round. We have
`P(A)(""^(8n-1)C_(n-1))/(""^(8n)C_(n))=1/8`...
(a) The probability of `S_(1)` to be among the eight winners is equal to the probability of `S_(1)` winning in the group, which is given by 1/2.
(b) If `S_(1)...
It seems that the king of Assaka was known as ‘Andhakraja’ during Gautama Buddha’s times.
The region on the bank of the Godavari was known as ‘Andhakratta’.
Sage Bavari, a contemporary of...
Kalidasa composed the ‘Meghdoot’ at Ramtek in Vidarbha.
During the Vakataka rule, Compositions in the Prakrit language were created. Pravarsena II.
The Vakataka king wrote the wellknown composition named ‘Setubandha’. ‘Harivijaya’ was...