MAT 1304 5

UNITV MAT 1304

#31

Probabilitythat the first number is even or the sum less than 5

=Probability of even + Probability of the sum is less than 5

Probabilityof even P (E) = ½

Probabilityof the sum is less than 5 = 6/36 = 1/6

Therefore,the Probability that the first number is even or the sum is less than5 = ½ + 1/6

=2/3

#32

Thetotal number of odd numbered disc is 4

Outof the 4 odd numbered, only one red is odd numbered. Therefore, theprobability of selecting a red disc, given that an odd numbered discis selected is ¼

#33

Probabilityof selecting a coconut-filled chocolate = 5/30 = 1/6

Probabilityof selecting a caramel-filled chocolate = 10/30 = 1/3

Prob.Of selecting a coconut-filled followed by a caramel-filled chocolate= 1/6 * 1/3 = 1/18

#34

Prob(Young Adult) = (0.24 * 0.23) / (0.24 * 0.23) + (0.45 * 0.04) + (0.31* 0.05)

=0.0552/0.0887

=0.62

#35

P(A/R) = (0.13) (0.2) / (0.13) (0.2) + (0.28) (0.4) + (0.59) (0.9)

0.026/ 0.669

=0.039

#36

(51.2%* 14.9%) + (10.7% * 48.8%)

=0.128

#37

80/100* 80/100 * 80/100

=512/1000

=0.512

#38

Prob(Man or Heavy Smoker) = P (Man) + P (Heavy Smoker) – P (Man andHeavy Smoker)

=525/1032 + 67/1032 – 37/1032

0.5087+ 0.0649 – 0.0359

=0.538

#39

Peopleentertained by reading books = 37%

Peopleentertained by both books and TV = 20%

Peopleentertained by watching TV = 43%

Peopleentertained by either books or TV = (43% – 20%) + 20% + (37% – 20%)

=60%

#40

P(R u S) = 0.32 + 0.29 + 0. 11

=0.72

#41

Totalnumber of girls = 50 + 234 + 350 + 160 + 6 = 800

50%and more girls = 160 + 6 = 166

Probabilitythat her estimate is above 50% = 166/800

=0.21

#42

Probabilitythat a degree is not in English = 1 – 2073 / 9313

=0.777

References

Lial,M. L., Greenwell, R. N., & Ritchey, N. P. (2012). *Finitemathematics (10th ed.)*.Boston, MA: Pearson Education.