Question

HELP TIMED!!!!

If the pointer in the figure is spun​ twice, find the probability that the pointer lands on yellow ​(Y​) both spins.

Answer 1

Answer: The probability of the pointer lands on red(R) both spin =

Step-by-step: The number of parts = 6

The pointer is spun twice.

To find the probability of the pointer lands on red(R) both spin.

Formula

Probability of an event = number of required outcomes ÷ the total number of outcomes.

P(A and B) = P(A)×P(B)

Now,

For one spin,

A = RED comes.

For second spin,

B = RED comes

So,

P(A) = and P(B) =

Then,

P(A and B) = × =

Hence, the probability of the pointer lands on red(R) both spin =

Answer 2

The probability that the pointer lands on yellow (Y) both spins is 1/9.

How to calculate probability of the pointer landing on yellow part.

From figure

Given

2 parts red

2 parts yellow

2 parts green

Total number of parts = 2 + 2 + 2 = 6 parts

Probability is a measure of the likelihood that a specific event will occur, expressed as a number between 0 and 1.

Mathematically

Probability = Favoured outcome/Total number of possible outcome

When the arrow is spinned

the probability of landing on yellow

First spin

P(Y) = 2/6

= 1/3

Second spin

P(Y) = 2/6

= 1/3

P(2Y) = 1/3*1/3

= 1/9

The probability that the pointer lands on yellow (Y) both spins is 1/9