coin is flipped and a spinner is spun simultaneously. The spinner is divided into six equally sized sections labeled with 1, 2, 3, 4, 5, 6. What is the probability of flipping a tail and landing on 5? Express your answer as a fraction in simplified form.(1 point)

Answer 1

To find the probability of flipping a tail and landing on 5 when the coin is flipped and the spinner is spun, we need to determine the total outcomes and the successful outcomes.

1. Flipping the Coin:

   • There are 2 possible outcomes when flipping a coin: Heads (H) or Tails (T).

2. Spinning the Spinner:

   • The spinner is divided into 6 sections, numbered from 1 to 6. Thus, there are 6 possible outcomes when spinning the spinner.

3. Total Outcomes:

   • Since the coin flip and spinner spin are independent events, the total number of possible outcomes when both are done is: \[ 2 \text{ (coin outcomes)} \times 6 \text{ (spinner outcomes)} = 12 \text{ total outcomes.} \]

4. Successful Outcomes:

   • We want to find the probabilities of flipping a tail (T) and landing on 5. There is only one combination that meets these criteria: (T, 5).
   • Thus, there is 1 successful outcome.

5. Probability Calculation:

   • The probability of both flipping a tail and landing on 5 is given by the formula: \[ P(\text{T and 5}) = \frac{\text{Number of successful outcomes}}{\text{Total outcomes}} = \frac{1}{12}. \]

Therefore, the probability of flipping a tail and landing on 5 is \(\frac{1}{12}\).