Beth spins a fair spinner numbered 1 - 8 and flips a fair coin.
What is the probability of obtaining a factor of 3 and a head?

1/8

Step-by-step explanation:

To find the probability of two events happening we need to find the probability of each event happening first:

For the spinner there are 8 possibilites (landing 1, 2, 3...8) and we are looking for factors of 3 which are 1 and 3 (3 is prime) therefore:

The chance of landing a factor of 3 on the spinner is 2/8=1/4

For the head there are two possibilities (heads and tails) and only one event we want happening (heads), therefore:

The chance of landing on heads on a fair coin is 1/2

Now to find the chances of both events happening we must multiply them to find that:

(1/2) ⋅ (1/4) = 1/8 the chances of the event happening

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled