SOLUTION: Each time Astrid plays a game of chess against her computer, she will win or draw or lose. For each game, the probability of winning is 0.3.The probability of losing is three times

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Question 1099359: Each time Astrid plays a game of chess against her computer, she will win or draw or lose. For each game, the probability of winning is 0.3.The probability of losing is three times the probability she will draw. What is her probability of losing
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
total must equal 1
w=.3
which leaves 1-.3=.7 for lose and draw
l=3d
l+d=.7
3d+d=.7
4d=.7
d=.7/4=0.175
l=3*.7/4=0.525
check
3*0.175=0.525
.3+0.175+0.525=1
ok