This spinner is spun twice. The numbers added, completely the table to show sample space.
a) Find the probability of the total will be an even number
b) Find the probability the total will not be more than 6

This spinner is spun twice The numbers added completely the table to show sample space a Find the probability of the total will be an even number b Find the pro class=


Answer :

Answer:

Completed table in image

a) 5/9

b) 1/3

Step-by-step explanation:

Completed table is shown; the numbers in the cells are the sums of both spins

Sample Space is S = {4, 6, 6, 8, 9, 9, 11, 11, 14}

Total elements = size of sample space = 9

a) P(even number total)
The even number totals are {4, 6, 6, 8, 14}  
Thus there are 5 possible even number outcomes
P(total is an even number)
= Number of even total outcomes/Sample Space Size

= 5/9

b) Total not more than 6
==> Total is 6 or less
==> Total = 4, 6, 6  (3 possible outcomes )
P(total not more than 6) =  3/9 = 1/3

Please feel free to ask questions if you need more clarifications

View image rvkacademic