Question

A six-sided fair die is rolled and a fair coin is tossed. If event M represents getting an odd number on the die and event N represents landing tails on the coin, are these two events dependent or independent?

Answer 1

Probaility is (desired outcomes)/(total possible outcomes)


odd numbers of dice is 3 (1,3,5)
desired outcomes =3
dice has 6 numbers
total possible outcomes of diece=6
3/6=1/2=dice





coin
tails=1
desired outcomes=1
total possibe=2 since 2 sides (head and tails)
cond poinbabiotiuyy=1/2


they are independend of each other since they do not influence each other
if they were like 'pick 2 collor balls and see what color you get, when you pick one, there is 1 less ball int he bucket so the propbabilit changes'



so
assuming that
P(M and N)= means
'the probability of M and N are both equal to "

The two events are independent. In the given scenario, P(M and N) =1/2.