Three coins were tossed simultaneously. Each time the number of heads occurs is noted in the given data. Find the number of times only tails occurred.

To answer your question, we will first analyze the data that corresponds to the outcomes when three coins are tossed. We're looking for the number of times only tails occurred.

Breakdown of the Problem

1. When three coins are tossed, the possible outcomes can be:

   • 0 heads, which means all tails (TTT)
   • 1 head (HTT, THT, TTH)
   • 2 heads (HHT, HTH, THH)
   • 3 heads (HHH)

2. We need to find the occurrences of the case with 0 heads (all tails).

Relevant Concepts

The total number of outcomes when tossing three coins is $2^3 = 8$. Each outcome has equal probability.

Analysis and Detail

1. The only outcome for 0 heads is TTT, which occurs once out of the 8 possible outcomes.
2. To find the number of times only tails occurred, we would typically refer to the experimental data or observed counts provided.

Since specific counts of heads or tails are not given in your data, we can state that:

• The occurrence of "only tails" corresponds to the total outcomes as shown, which is calculated to be 1 out of the 8 possible outcomes.

Verify and Summarize

• From the potential outcomes of three coins:
  • Tails occur only when all three coins show tails, which happens once.
• Therefore, in the experiment of tossing the coins multiple times, if you're referring to a repeated experiment's results, you would sum the occurrences of the TTT outcome.

Final Answer

The number of times only tails (TTT) occurred is 1 out of 8 when three coins are tossed. If you have specific frequency counts, please provide them for a precise answer regarding the total outcomes.