what is the probability of flipping tails and rolling an odd number?\nwrite your answer as a fraction or a…

Explanation:

Step1: Calculate the probability of flipping tails

A coin has 2 sides (heads and tails). The probability of flipping tails ( P(T)=\frac{1}{2} ).

Step2: Calculate the probability of rolling an odd number

A die has 6 sides ((1,2,3,4,5,6)). The odd - numbered sides are (1,3,5). So the probability of rolling an odd number ( P(O)=\frac{3}{6}=\frac{1}{2} ).

Step3: Use the multiplication rule for independent events

Since flipping a coin and rolling a die are independent events, the probability of both events occurring is (P = P(T)\times P(O)). Substitute (P(T)=\frac{1}{2}) and (P(O)=\frac{1}{2}) into the formula: (P=\frac{1}{2}\times\frac{1}{2}). [P=\frac{1\times1}{2\times2}=\frac{1}{4}]

Answer:

(\frac{1}{4})