Answer:
Step-by-step explanation:
Given that Bill, George, and Ross, in order, roll a die.
The first one to roll an even number wins and the game is ended.
Since Bill starts the game he can win by throwing even number or lose by throwing odd number
P(win) = 0.5, otherwise, the die will go to George. For Bill to win, both George and Ross should throw an odd number so that Bill again gets the chance with game non ending.
Thus we have Prob of Bill winning =P of Bill winning in I throw +P of Bill winning in his II chance of throw +....infinitely
To get back the dice once he loses probability
= p both throws odd = 
Thus Prob for Bill winning
= 
This is an infinite geometric series with I term 0.5 and common ratio 0.125<1
Sum = 
The mean is 36 and the standard deviation is 5.02.
The mean is given by
μ = np = 120*0.3 = 36.
The standard deviation is given by
σ = √(n*p*(1-p)) = √(120*0.3*0.7) = √25.2 = 5.02.
Answer:
1445
Step-by-step explanation:
2601*(9/9-4/9)
Answer:
m∠P′Q′R′ = m∠PQR
Step-by-step explanation: