Collin has a fair coin and a fair 10-sided number cube labeled 1-10. He performs this experiment 150 times to determine the experimental probability that heads is tossed and the number 2 is rolled. Which of the following is most likely to be the experimental probability that Collin determined?

Question

I think heads is 1/2 and i think 2 is 1/10. if you multiply them you get 1/20...times 150=7 1/2.
how do i get the correct answer? because 7 1/2 is wrong.

Answer 1

since you did not list the choices, I can't tell "which of the following is most likely to be the experimental probability".

The probability of the event you stated is (1/2)(1/10) = 1/20
which you had

Answer 2

the choices are a) 3/7 b) 1/3 c) 3/40 d) 2/37

Answer 3

Again, without the choices, we cannot know which one is the most likely.

However, since we are talking about experimental probability, and that we cannot have an outcome of 7.5 times out of 150. Therefore the most likely result could be 7/150 or 8/150, whatever their decimal equivalents are.