Question

A. A product has a probability of 60% showing up in warehouse A, and 80% in warehouse.

B. What is the probability that two products show up at the same warehouse.

Answer 1

100%

Explanation:

Probability of a product showing up in warehouse A =60%

Probability of a product showing up in warehouse B = 80%

Probability of 2 product showing up in warehouse A is

Probability of 1 product showing up in A and probability of 1 product showing up in A

A n A = 60% x 60% = 0.6 x 0.6 = 0.36 =36%

Probability of 2 product showing up in warehouse B is

Same as above

Probability of 1 product showing up in B and probability of 1 product showing up in B

B n B = 80% x 80% = 0.8 x 0.8 = 0.64= 64%

Probability of 2 product showing up in same warehouse is define as

Probability of 1 product showing up in A and probability of 1 product showing up in A or

Probability of 1 product showing up in B and probability of 1 product showing up in B

(AnA) U (BnB) =

36% + 64% = 0.36 + 0.64= 1

100%