Q. In a game, the 1st person tosses a coin. If the outcome is head, he throws a dice and the result is recorded as his score and he gets one more chance to toss the coin. If the outcome is tail then the next person gets a chance to toss the coin. What is the probability that a person scores 35 points after 6 tosses in this game?

Option
a) (1/32)(1/6)^5
b) (1/32)(1/6)^6
c) (1/64) (1/6)^6
d) (1/64) (1/6)^5

• 4) (1/64) (1/6)^5
• 12 years agoHelpfull: Yes(7) No(3)
• probability of head or tail is: 1/2
  And Sample Space is: 6^6
  so , Probability of Scoring 35 point can be achieved when he get head atleast 5 times, so prob= (1/2*1/2*1/2*1/2*1/2*1/2)/6^6
  
• 12 years agoHelpfull: Yes(0) No(0)
• Ans. 3) (1/64) (1/6)^6
  
  Probability of getting head or tail by throwing coin is: 1/2
  Probability of getting each number by throwing dice is : 1/6
  For scoring 35 point the person should get 5 times six and 1 time five in six throws of dice.
  So probability of scoring 35 points after tosses is : (1/2)^6 * (1/6)^6
  = (1/64) (1/6)^6
  
• 12 years agoHelpfull: Yes(0) No(0)
• (1/64) (1/6)^5
• 9 years agoHelpfull: Yes(0) No(0)