What is the probability of obtain tails and an odd number?

What is the probability of obtain tails and an odd number?

Question
What is the probability of obtain tails and an odd number?

Answers (1)

2020-10-21
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 > \(\displaystyle=\frac{{3}}{{12}}=\frac{{1}}{{4}}={0.25}={25}\%\)
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