(20) A company gives out Identification tags toits employees. The identification
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Question
(20) A company gives out Identification tags toits employees. The identification tags contain threedigits.
How many ID tags are possible if the digits canbe used more than once?
How many ID tags are possible if the first digitmust be a 5 and repetitions are not permitted?
(23) The Masterfoods Company says that yellowcandies make up 14% of their plain M&M’s, red another14%, orange 21%, blue 18%, and green 18%. The rest arebrown.
(a) If you pick an M&M at random, what is theprobability that it is brown?
(b) If you pick three M&M’s in a row,what is the probability that none aregreen?
Explanation / Answer
(20) How many ID tagsare possible if the digits can be used more thanonce? ANS: 10 x 10 x 10 (since each digit can have 10 possible) =1000 Howmany ID tags are possible if the first digit must be a 5 andrepetitions are not permitted? ANS: 1 x 9 x 8 = 72 (Since 5 has been taken, theremaining space has 9 choices, then the subsequent one has 8choices) (23) (a) If you pickan M&M at random, what is the probability that it isbrown? ANS: P(BROWN) = 1 - (0.14 + 0.14 + 0.21 + 0.18 +0.18) = 0.15 (b)If you pick three M&M’s in a row, what is the probabilitythat none are green? ANS: P(No green) = (1-0.18)3 = 0.551 Hope this helps!
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