Answer:
<u>P(M) = </u><u>0.3158</u>
<u />
Step-by-step explanation:
<u>Data given in the question:</u>
Total Slots = 38
Green Slots = 2 labelled (0, 00)
Red Slots = 18
Black Slots = 18
E = Ball lands on an even numbered slot
M = Ball lands in a slot that is numbered a multiple of 3
We are required to find the probability of event M. For that, we need to identify how many multiples of 3 are present on the wheel.
Multiples of 3 between 1-36 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36
There are a total of<u> 12 slots numbered with multiples of 3</u>.
P(M) = No. of slots numbered a multiple of 3 / Total no. of slots
= 12/38
P(M) = 0.3158 (rounded to four decimal places).
