(correct answer gets brainliest and full ratings )

a number cube is rolled and a coin is tossed. what is the probability of the coin landing on tails and rolling a six on a number cube?

a) 1/3

b) 1/4

c) 1/6

d) 1/12

Because these events are independent, you can get the probability of of rolling a 5 and tossing tails by multiplying the probabilities of the two events together. this gives you...
P=1/5*1/2=1/10
Assuming the cube is 6-sided and is fair, the probability of rolling a
5 is 1/6(because there is an equal chance of rolling a 1,2,3,4,5,and 6
so the probability of each is 1 divided by the total number of options).
Assuming the coin is fair, the probability of tossing tails is 1/2 because there are two, equally likely options).
Therefore, to get the probability of rolling a
5 AND tossing tails, you multiply 1/5*1/2
and get the answer 1/10