SOLUTION: A spinner with 3/4 blue and 1/4 red is spun twice. What is the probability of; a) red on the first spin b)blue on the first spin and red on the second c) both the same color d

Algebra ->  Probability-and-statistics -> SOLUTION: A spinner with 3/4 blue and 1/4 red is spun twice. What is the probability of; a) red on the first spin b)blue on the first spin and red on the second c) both the same color d      Log On


   

Question 1143806: A spinner with 3/4 blue and 1/4 red is spun twice.
What is the probability of;
a) red on the first spin
b)blue on the first spin and red on the second
c) both the same color
d)different colors
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.

(a)  P = 1%2F4.      ANSWER    (It is obvious)



(b)  P(first is blue AND second is red) = 

     = product of particular probabilities P(first is blue)*P(second is red) = 3%2F4.1%2F4 = 3%2F16.    ANSWER



(c)  P = %283%2F4%29%5E2 + %281%2F4%29%5E2 = 9%2F16+%2B+1%2F16 = 10%2F16 = 5%2F8 = 0.625 = 62.5%.       ANSWER



(d)  P = %283%2F4%29%2A%281%2F4%29 + %281%2F4%29%2A%283%2F4%29 = 2%2A%283%2F4%29%2A%281%2F4%29 = 3%2F8 = 0.375 = 37.5%.     ANSWER


     Also notice that the probability of (d) is the complement to the probability of (c).

All questions are answered -- the problem is solved.