Melissa bought many lottery tickets to try to figure out the probability of her losing, getting her money back, or winning. she counted that she had 57 tickets that lost, 12 tickets where she got her money back, and 42 tickets that won.

Probability of losing = 0.514

Probability of getting money back = 0.108

Probability of winning = 0.378

Step-by-step explanation:

The number of tickets that lost = 57

The number of tickets where she got her money back = 12

The number of tickets that won = 42

The total number of tickets = 57 + 12 + 42 = 111

∴ The probability of her losing =

The probability of getting her money back =

The probability of winning =

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.