fortdefruitI

2021-09-22

Engineering company has a task of checking compressive strength for 100 concrete cubes. The results revealed that 85 cubes passed the compressive strength test successfully and 15 cubes failed in the test. If 10 cubes are selected at random to be inspected by the company, determine the probability that the 8 cubes will pass the test
and 2 cubes will fail in the test by using the Combinatorial Analysis.

a. 0.4522

b. 0.3415

c. 0.6553

d. 0.1156

e. 0.2919

a. 0.4522

b. 0.3415

c. 0.6553

d. 0.1156

e. 0.2919

Isma Jimenez

Skilled2021-09-23Added 84 answers

Total number of cubes

Number of cubes passed the test successfully

Number of cubes failed in the test

It is given that if 10 cubes are selected at random to be inspected by the company then we have to find the probability that 8 cubes will pass the test and 2 cubes will fail in the test.

Total possible cases

Favorable cases

Required probability

Thus, the required probability that 8 cubes will pass the test and 2 cubes will fail in the test is 0.2919.

Hence, option (e) is correct