2 12 points) Among 50 residents at Terminus, S are left-handed, afraid to fight

Question

2 12 points) Among 50 residents at Terminus, S are left-handed, afraid to fight and are vegetarians; anded, afraid to fight but are not vegetarians; 3 are left-handed vegetarians who are not tarians; 20 are afraid to 5 are left-h afraid to fight; 5 are left-handed but are not afraid to fight and are not vege ight, are right-handed and are not vegetarian; 2 who are afraid to fight and are vegetarian but are not left-hand afraid to fight and are not ed; 3 vegetarians who are right handed and not afraid to fight; and 4 right-handed, not vegetarians. (Hint: Use a Venn Diagram) *One can be either left-handed or right-handed but not both. (a) How many are left handed? (b) How many are not vegetarian'? (c) What is the probability that a randomly selected member is left-handed or vegetarian?

Explanation / Answer

a) Left handed= 21

b) Not vegetarian= 10 Left handed+ 24 Right handed= 34

c) P( L or Veg) =P(L) + P(Veg) -P( L and Veg)

P(L)= 21/ 50

P(Veg)= (11+5)/ 50 = 16/ 50

P( L and Veg) = 11/ 50

P( L or Veg)= 21/ 50 + 16 /50 - 11/ 50 = 26/50 = 0.52

Left Veg Non-Veg 8 V 5 N V 3 V 5 N V Sum 21 11 10 Right 20 NV 2 V 3 V 4 NV Sum 29 5 24

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