The probability that a new small business closes before the end of its first year is 42%. In addition, 37% of all new businesses are started by women. The probability that a new business is either owned by a woman or goes out of business is 62%. Your sister starts a new business. What is the probability her business will still open at the end of the first year? A = A new small business closes before the end of its first year. B = New business started by a woman.

The probability that my sister's business will still open at the end of the first year is 0.541.

Step-by-step explanation:

The events are denoted as:

A = A new small business closes before the end of its first year.

B = New business started by a woman.

It is provided that:

P (A) = 0.42

P (B) = 0.37

P (A ∪ B) = 0.62

The probability that my sister's business will still open at the end of the first year is expressed as .

The value of .

Compute the value of P (A ∩ B) as follows:

The value of is:

Compute the value of as follows:

Thus, the probability that my sister's business will still open at the end of the first year is 0.541.

answer: 1) twenty-seven times y

              2) twenty-seven multiplied by y