What is the Probability of the 6-sided block to land on a number less than 5 and the purple-and-yellow spinner to spin on purple

  1/3

Step-by-step explanation:

We have to make some assumptions here:

The joint probability of the two independent events is the product of their individual probabilities.

  p(n < 5) = 4/6 = 2/3

  p(purple) = 1/2

Then ...

  p(n < 5 & purple) = (2/3)(1/2) = 1/3

1/3 or 33.33%

Step-by-step explanation:

1) What is the probability of the 6-sided block to land on a number less than 5?

Numbers on this cube: 1, 2, 3, 4, 5, 6

4 of these numbers are less than 5

Write as a fraction

4/6

Set equal to x/100 to find percentage

4/6 = x/100

Cross-Multiply (numerator * denominator / numerator * denominator)

4(100) = 6(x)

400 = 6x

Divide both sides of the equation

x= 66.67%

66.67%

2) What is the probability of the purple-and-yellow spinner to spin on purple

Purple and yellow spinner

There are two possibilities:

- Purple

- Yellow

1 out of 2

Write as a fraction

1/2

Set equal to x/100

1/2 = x/100

Cross-Multiply (numerator * denominator / numerator * denominator)

2(x) = 1(100)

2x = 100

Divide both sides of the equation by 2

x = 50

50%

Multiply

50% (or 1/2) * 66.67 (or 2/3) =

0.3(3)

Multiply by 100 to find percent

33.33%

Hope this helps :)

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.