what will be the number of events if 8 coins are tossed simultaneously
What will be the number of events if 8 coins are tossed simultaneously?
Answer: When 8 coins are tossed simultaneously, each coin has two possible outcomes: heads (H) or tails (T). The total number of possible events (or outcomes) when tossing 8 coins can be determined using the principles of combinatorics.
Each coin flip is an independent event with 2 possible outcomes. Therefore, for 8 coins, the total number of possible events is calculated by raising the number of outcomes per coin to the power of the number of coins:
\text{Total number of events} = 2^n
where ( n ) is the number of coins.
In this case, ( n = 8 ):
\text{Total number of events} = 2^8
Calculating this:
2^8 = 256
Therefore, the number of events when 8 coins are tossed simultaneously is \boxed{256} .