Easy Please Help!! An feed pipe has two block valves in series, one with an old

Question

Easy Please Help!!

An feed pipe has two block valves in series, one with an old design and one with a new, better design. The probability of the old design not closing when needed is 0.055. The probability of the new design not closing when needed is 0.025. With these two valves in the pipe, what is the probability that they cannot stop flow when needed.

A.) 0.0014

B.) 0.0064

C.) 0.04

D.) 0.08

In addition to six-sided dice (cubes), there are also four-sided dice (tetrahedrons), eight-sided dice (octahedrons), twelve-sided dice (dodecahedrons), and 20-sided dice (icosahedrons). When throwing one four-sided die with faces numbered 1 to 4 and one 20-sided die with faces numbered 1 to 20, what is the probability of rolling “24” within three throws?

A.) 1.7%

B. ) 2.7%

C.) 3.7%

D.) 4.7%

Explanation / Answer

1.

As they are in series, then for them to work, both should work.

Hence,

P(not work) = 1 - P(both work)

= 1 - (1-0.055)*(1-0.025)

= 0.078625 = 0.08 [ANSWER, D]

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