A certain jar contains 100 jelly beans: 50 white, 30 green, 10 yellow, 5 red, 4 purple, and 1 black. If a jelly bean is to be chosen at random, what is the probability that the jelly bean will be neither purple nor red?
(A) 0.09
(B) 0.11
(C) 0.55
(D) 0.91
(E) 0.96

• probability that the jelly bean will be purple = 4/100 =1/25
  probability that the jelly bean will be red = 5/100 = 1/20
  probability that the jelly bean will be neither purple nor red = 1-1/25 -1/20 = 0.91 (ans)
• 11 years agoHelpfull: Yes(10) No(0)
• probability of selecting purple=4/100.
  probability of selecting red=5/100.
  probability of selecting either red or purple=(4/100)+(5/100)=9/100
  so probability that jelly beans is neither red nor purple=1-9/100
  =91/100
  =.91
• 11 years agoHelpfull: Yes(7) No(0)
• D
  probability of been purple= 4C1/100C1= 4/100
  probability of been red= 5C1/100C1= 5/100
  probability of nor red or purple= 1-(4/100 + 5/100) = 0.91
• 11 years agoHelpfull: Yes(2) No(0)
• probability = required outcomes/total outcomes.
  so, total outcomes = 50+30+10+5+4+1 = 100
  required outcomes (neither purple nor red)= 50+30+10+1= 91
  so, probability = 91/100 =0.91 so, (D)0.91 is the answer
• 11 years agoHelpfull: Yes(1) No(0)