vitamin and three sugar tablets identical in appearance are in a box. One tablet

Question

vitamin and three sugar tablets identical in appearance are in a box. One tablet is taken at random and given to Perso n A. A tablet is then selected and given to Person B. What is the probability that a. Person A was given a vitamin tablet? b. Person c. neither was given vitamin tablets? d. both were given vitamin tablets? e. exactly one person was given a vitamin tablet? f. Person A was given a sugar tablet and Person B was given a vitamin tablet? g. Person A was given a vitamin tablet and Person B was given a sugar tablet? B was given a sugar tablet given that Person A was given a vitamin tablet?

Explanation / Answer

Question 8

(a) Pr(A is given Vitamin tablet) = 6/9 = 2/3

(b) Pr(B was given sugar when A was given vitamin tablet) = 3/8 = 0.375

(c) Pr(Neither was given vitamin tablets) = (3/9) * (2/8) = 1/12

(d) Pr(Vitamin tablets) = (6/9) * (5/8) = 15/36

(e) Pr(Exactly one was given vitamin tablets = 2 * 6/9 * 3/8 = 0.5

(f) Pr(A sugar and B vitamin) = (3/9) * (6/8) = 1/4 = 0.25

(g) Pr(A Vitamin and B Sugar) = (6/9) * (3/8) = 1/4 = 0.25

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