There are two ants on opposite corners of a cube. On each move,they can travel along an edge to an adjacent vertex. If the probability thatthey both return to their starting position after 4 moves is mn , where m andn are relatively prime integers, find m+n. (NOTE:They do not stop if theycollide.)a) 17 b) 65 c) 73 d) 85
d)85?
every vertex the ants have 3 options sample space = 3^4
to return to starting position they have to reverse the direction (2 ways) favourable cases = 3^2 * 2!
probability = 9*2/81 = 2/9
probability that both return to start point = 4/81 m + n = 85
d)85?every vertex the ants have 3 optionssample space = 3^4to return to starting position they have to reverse the direction (2 ways)favourable cases = 3^2 * 2!probability = 9*2/81 = 2/9probability that both return to start point = 4/81m + n = 85
d)85?every vertex the ants have 3 optionssample space = 3^4to return to starting position they have to reverse the direction (2 ways)favourable cases = 3^2 * 2!probability = 9*2/81 = 2/9probability that both return to start point = 4/81m + n = 85
to return to starting position they have to reverse the direction (2 ways)favourable cases = 3^2 * 2!
probability = 9*2/81 = 2/9....bhai ye logic kuch clear nai ho rah hai..
to return to starting position they have to reverse the direction (2 ways)favourable cases = 3^2 * 2!probability = 9*2/81 = 2/9....bhai ye logic kuch clear nai ho rah hai..
Suppose the ant goes left first and then up. It has two options to return to starting point: down first then right right first then down
There are two ants on opposite corners of a cube. On each move,they can travel along an edge to an adjacent vertex. If the probability thatthey both return to their starting position after 4 moves is m/n , where m andn are relatively prime integers, find m+n. (NOTE:They do not stop if theycollide.)a) 17 b) 65 c) 73 d) 85
d)85?every vertex the ants have 3 optionssample space = 3^4to return to starting position they have to reverse the direction (2 ways)favourable cases = 3^2 * 2!probability = 9*2/81 = 2/9probability that both return to start point = 4/81m + n = 85
Four sisters Suvarna, Tara, Uma and Vibha are playing a game such that the loser doubles the money of each of the other players from her share. They played four games and each sister lost one game in alphabetical order. At the end of fourth game each sisterhad Rupees 32. How much money did Suvarna start with?
Four sisters Suvarna, Tara, Uma and Vibha are playing a game such that the loser doubles the money of each of the other players from her share. They played four games and each sister lost one game in alphabetical order. At the end of fourth game each sisterhad Rupees 32. How much money did Suvarna start with?
Four sisters Suvarna, Tara, Uma and Vibha are playing a game such that the loser doubles the money of each of the other players from her share. They played four games and each sister lost one game in alphabetical order. At the end of fourth game each sisterhad Rupees 32. How much money did Suvarna start with?
What is the 50th digit after decimal for: sqrt{(2009*2010*2011*2012 + 1)/4}Yesterday one of my questions got unanswered. Hope same doesn't happen today..
What is the 50th digit after decimal for: sqrt{(2009*2010*2011*2012 + 1)/4}Yesterday one of my questions got unanswered. Hope same doesn't happen today..
2009*2010*2011*2012+1 is a perfect square (wolframalpha se check kiya)
so ans. must be 0
par ye pata kaise chalega ki ye perfect square hai
