The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance of capturing the ball. a) You watch a roulette wheel spin 7 consecutive times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot on the next spin

9 / 19

Step-by-step explanation:

Given that:

Number of slots on roulette wheel = 38

Number of red on wheel = 18

Number of black on wheel = 18

Number of green = 2

The probability that ball will land on red slot :

Recall: probability of event (A) = P(A)

P(A) = (number of required outcome / number of total possible outcomes)

Hence,

P(ball lands on red) = (Number of red slots / total number of slots)

P(ball lands on red) = 18 / 38

P(ball lands on red) = 9/ 19

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)