At the local racetrack, the favorite in a race has odds 3: 2 of losing. what is the probability that the favorite wins the race?
a. 0.2
b. 0.67
c. 0.6
d. 0.4

0.40

Step-by-step explanation:

Given that at the local racetrack, the favorite in a race has odds 3:2 of losing

Here instead of probability odds are given.

Odds of losing = 3/2

Hence Probability of losing =

Probability that the favourite wins the race will be the probability for the event which is complement of losing the game.

Hence

Probability that the favourite wins the race will be the probability

= 1- 0.6

=0.40

d

step-by-step explanation:

d

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form