Question

now find the probability of rolling an odd number and flipping tails. the probability of rolling an odd number and flipping tails is \\(\frac{\square}{\square}\\).

Explanation:

Step1: Determine probability of rolling odd

A die has 6 faces (1 - 6). Odd numbers: 1, 3, 5. So \( P(\text{odd})=\frac{3}{6}=\frac{1}{2} \).

Step2: Determine probability of flipping tails

A coin has 2 sides (heads, tails). So \( P(\text{tails})=\frac{1}{2} \).

Step3: Multiply probabilities (independent events)

Since rolling a die and flipping a coin are independent, \( P(\text{odd and tails}) = P(\text{odd}) \times P(\text{tails})=\frac{1}{2} \times \frac{1}{2}=\frac{1}{4} \).

Answer:

\(\frac{1}{4}\)