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?

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

Given that:

(a) 3 consecutive spins

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

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

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:

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

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:

link

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.

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺