When you toss a coin 5 times, each toss has 2 possible outcomes: heads (H) or tails (T).

A tree diagram starts with a single branch and then splits into 2 branches for each possible outcome at every step (each toss).

To calculate the total number of branches in the tree diagram after 5 tosses:

• After the 1st toss: 2 branches
• After the 2nd toss: $2 \times 2 = 4$ branches
• After the 3rd toss: $4 \times 2 = 8$ branches
• After the 4th toss: $8 \times 2 = 16$ branches
• After the 5th toss: $16 \times 2 = 32$ branches

So, the tree diagram would have 32 branches after 5 tosses.

Would you like more details or have any questions about this?

Here are 5 related questions you might find interesting:

1. How many different sequences of heads and tails can occur if a coin is tossed 5 times?
2. If a coin is tossed 5 times, what is the probability of getting exactly 3 heads?
3. How does the number of branches change if the coin is tossed 6 times?
4. How many branches would there be in a tree diagram if the coin is tossed 10 times?
5. What would the tree diagram look like if the coin had 3 possible outcomes instead of 2?

Tip: The number of branches in a tree diagram grows exponentially with the number of events (in this case, coin tosses).