Question

Find the probability of not observing a sum that is a multiple of 4 after tossing two die. You must draw a product table after tossing to receive credit for your answer?

Answer 1

3/4

Step-by-step explanation:

When two die are tossed, the sample space for the possible outcomes is given below:

Next, we make a product table for the sum:

From the table:

• The number of sums that are multiples of 4 (circled) = 9

,

• The total outcome = 36

Therefore:

`\begin{gathered} P(\text{sum is not a multiple of 4)}=1-P(\text{sum is a multiple of 4)} \\ =1-(9)/(36) \\ =1-(1)/(4) \\ =(3)/(4) \end{gathered}`

The probability of not observing a sum that is a multiple of 4 is 3/4.