Question

One spinner is divided into four equal parts. A second spinner is divided into five equal parts. The grid shows the possible outcomes when each spinner is spun once.
a. How many possible outcomes are there?
b. What is the probability that an outcome contains numbers that are both greater than 3?
c. Find the probability of spinning the same two numbers.

Answer 1

Spinners are used to illustrate probability distribution function

• The number of possible outcomes is 20
• The probability that the outcomes are greater than 3 is 11/20
• The probability of spinning the same numbers is 1/5

The number of possible outcomes

This is the sample size of the distribution.

So, the number of possible outcomes is calculated as:

$n = 4 * 5$

Where 4 and 5 are the number of sections in both spinners

This gives

$n = 20$

Hence, the number of possible outcomes is 20

The probability that the outcomes are greater than 3

From the distribution, there are 11 outcomes that have a spin greater than 3.

So, the probability is:

p = 11/20

Hence, the probability that the outcomes are greater than 3 is 11/20

The probability of spinning the same numbers

From the distribution, there are 4 outcomes with the same numbers

So, the probability is:

p = 4/20

Simplify

p = 1/5

Hence, the probability of spinning the same numbers is 1/5

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