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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

Hello! i hope this
since the cosine is the ratio of the adjacent side to the hypotenuse, you can see that cos 60° = ½. answer. according to the property of cofunctions (topic 3), sin 30° is equal to cos 60°. sin 30° = ½.