Question

At a school fair you have a choice of randomly picking a ball from Basket A or Basket B. Basket A has 5 green balls, 3 red balls, and 8 yellow balls. Basket B has 7 green balls, 4 red balls,and 9 yellow balls. You can win a digital book reader if you pick a red ball

1.Which basket should you choose if you want the better chance of winning?

Answer 1

so comlare probabilities
probability=(desired outcomes)/(total possible outcomes)

probabiolity of basket A=3red/(3+5+8)=3/16
probability of basket B=4red/(7+4+9)=4/20=1/5
compare
3/16 and 1/5 the one that is bigger has a greater chanche of wining
find smalles common multipue
16 times 5=80
3/16 times 5/5=15/80
1/5 times 16/16=16/80
15/80 is less than 16/80 so 1/5 or basket B has a greater chance of winning