POSSIBLE POINTS: 4.17 Mario's parents tell him he doesn't have to do the dishes if he can flip heads on a fair coin and roll an even number on a fair six-sided die. What is the probability that Mario can get out of doing the dishes ? In other words, P(heads and even number) = ?

P(heads and even number) = 1/4

Step-by-step explanation:

Given:

Coin tossed for head

Dies role for Even number

Find:

P(heads and even number)

Computation:

P(heads) = 1/2

P(even number) = 3/6

P(even number) = 1/2

P(heads and even number) = P(heads) × P(even number)

P(heads and even number) = 1/2 × 1/2

P(heads and even number) = 1/4

step-by-step explanation:

x^3-4x^2+3x-2/x^2+1

step-by-step explanation:

factor the numerator and denominator and cancel the common factors