Question

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.

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 3 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?
b. You watch a roulette wheel spin 300 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?
c. Are you equally confident of your answers to the parts (a) and (b)? Why or why not?

Answer 1

Answer:

in steps

Step-by-step explanation:

If it is a fair roulette, the probability to land on RED should be the same no matter what results are in the previous spin

a) 18/38

b) 18/38

c) Yes, I'm confident of the answers. Because it's fair and there is no change of RED numbers.

Answer 2

Experimental probability is the probability of an event in an experiment. The probabilities of landing on red are as follows:

• 3 spins: The probability that the ball will land on a red slot on the next spin is 1
• 300 spins: The probability that the ball will land on a red slot on the next spin is 1
• (a) and (b) are correct

Given that:

$Red = 18\\ Black = 18\\ Green = 2$

(a) 3 consecutive spins

If each spin lands on red, each time; then we have:

$n=3$

$Red = 3$

The probability that the next spin will land on red is the experimental probability. This is calculated as:

$Pr = \frac{Red}{n}$

$Pr = \frac{3}{3}$

$Pr = 1$

The probability that the ball will land on a red slot on the next spin is 1

(b) 300 consecutive spins

If each spin lands on red, each time; then we have:

$n = 300$

$Red = 300$

The probability that the next spin will land on red is the experimental probability. This is calculated as:

$Pr = \frac{Red}{n}$

$Pr = \frac{300}{300}$

$Pr = 1$

The probability that the ball will land on a red slot on the next spin is 1

(c) The answers in (a) and (b)

The answers in (a) and (b) are correct, as they both represent the experimental probability of the spin landing on the red spot.

Read more about experimental probabilities at:

https://brainly.com/question/16181046