Oscar simultaneously tosses a fair coin and rolls an eight-sided fair die. The probability that Oscar gets heads and an even number is __. The probability that Oscar gets tails and a prime number less than 4 is __.

The number of outcomes in the experiment that Oscar did is 2 x 8 which is equal to 16. To get head is 1 and to get even number is 4. That is 4/16. Thus, the first probability being asked for 1/4. Then getting a tail is 1 and prime number less than 4 are only 2. Thus, the answer is 2/16 or 1/8.