The coin has 2 possible outcomes: heads H and tails T/
The die has 6 possible outcomes: 1, 2, 3, 4, 5, 6.

There are then \(\displaystyle{2}\cdot{6}={12}\) possible outcomes of flipping the coin and rolling the die: H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6.

# of possible outcomes = 12

We note that 3 of the 12 possible outcomes result in tails and an odd number: T1, 73, T5.

# of favorable outcomes = 3

The probability is the number of favorable outcomes divided by the number of possible outcomes:

P(tails and odd) = # of favorable outcomes /# of possible outcomes Te hie outcomes > \(\displaystyle=\frac{{3}}{{12}}=\frac{{1}}{{4}}={0.25}={25}\%\)

There are then \(\displaystyle{2}\cdot{6}={12}\) possible outcomes of flipping the coin and rolling the die: H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6.

# of possible outcomes = 12

We note that 3 of the 12 possible outcomes result in tails and an odd number: T1, 73, T5.

# of favorable outcomes = 3

The probability is the number of favorable outcomes divided by the number of possible outcomes:

P(tails and odd) = # of favorable outcomes /# of possible outcomes Te hie outcomes > \(\displaystyle=\frac{{3}}{{12}}=\frac{{1}}{{4}}={0.25}={25}\%\)