Answer:
a) 0.3
b) 0.8
Step-by-step explanation:
We are given the following in the question:
An injection-molded part is likely to be obtained from any 1 of 10 cavities on a mold.
Thus, the sample space could be written as:
[tex]S = \{C_1,C_2,C_3,C_4,C_5,C_6,C_7,C_8,C_9,C_{10}\}[/tex]
where C are the cavities on mold.
Each cavity of equal likelihood.
[tex]\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}[/tex]
a) probability that a part is from cavity 1, 2 or 3
[tex]P(C_1,C_2~or~ C_3) = \dfrac{3}{10} = 0.3[/tex]
0.3 is the probability that a part is from cavity 1, 2 or 3.
b) probability that a part is neither from cavity 3 nor 4
[tex]P(C'_3\cup C'_4)\\=1 - P(C_3\cup C_4)\\=1 - \dfrac{2}{10}\\\\=1 - \dfrac{1}{5} = \dfrac{4}{5} = 0.8[/tex]
0.8 is the probability that a part is neither from cavity 4 or cavity 4.
