Question

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

Answer 1

1/3 or 33.33%

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 :)

Answer 2

1/3

Explanation:

We have to make some assumptions here:

• the block is numbered 1 to 6, so there are 4 numbers less than 5
• each of the numbers on the block is equally likely to appear
• the spinner has two equal sections, one yellow, one purple
• the spinner is equally likely to land in either section
• the spinner and block outcomes are independent of each other

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