The conditional probability p(b/a) is the probability the event b occurs given that event a has occurred. which formula can be used to determine this conditional probability?

Step-by-step explanation:  We know what is conditional probability. It is defined as follows -

Given any two events A and B, the conditional probability of B given A is defined as the probability of happening of event B with the condition that the event A has already occured.

Mathematically, it is written as P(B/A) and its formula is given by the quotient of the probability of the joint of events B and A to the probability of event A.

i.e,

This is the required formula.

3

step-by-step explanation:

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.