What is the probability of tossing two coins and having them both show heads?
Show all work. Please help I don't understand this.
there are 4 possible outcomes:
TT
TH
HT
HH
Only one of those shows two heads
So, p(HH) = 1/4
To find the probability of tossing two coins and having them both show heads, we need to understand a few concepts and apply them step by step.
1. Understand the possibilities:
When we toss a coin, there are two possible outcomes - it can either show heads (H) or tails (T). Since we are tossing two coins, we need to consider all possible outcomes.
The possible outcomes when tossing two coins are:
HH (heads for both coins)
HT (heads for the first coin, tails for the second coin)
TH (tails for the first coin, heads for the second coin)
TT (tails for both coins)
2. Count the favorable outcomes:
Out of the four possible outcomes, we are interested in the one where both coins show heads - HH.
3. Determine the total number of outcomes:
As mentioned earlier, there are four possible outcomes for two coin tosses (HH, HT, TH, TT).
4. Calculate the probability:
The probability of an event is determined by dividing the number of favorable outcomes by the number of total outcomes.
In our case, the number of favorable outcomes is 1 (HH), and the number of total outcomes is 4 (HH, HT, TH, TT).
So, the probability of tossing two coins and having them both show heads is 1/4, or 0.25, or 25%.
To summarize, when tossing two coins, we have a 25% chance of getting heads on both coins.