Three coins are tossed. Find the probability that no more than one coin lands heads up.
so you want 0 heads or 1 head
ttt ---> 1 way
tth
tht
htt ---> 3 ways
so prob(of stated event) = 4/8 = 1/2
Well, let's take a look at the possible outcomes. When tossing three coins, there are a total of 2^3 = 8 possible outcomes (since each coin can either land heads up or tails up).
Now, let's count the outcomes where no more than one coin lands heads up. There are three ways this can happen:
1) All coins land tails up. This has 1 outcome (TTT).
2) One coin lands heads up, and the other two land tails up. There are three possible outcomes for this: HTT, TH, and TTH.
Therefore, there are a total of 1 + 3 = 4 outcomes where no more than one coin lands heads up.
Thus, the probability of no more than one coin landing heads up is 4/8 = 1/2, or 50%.
But hey, remember that probabilities can be a bit funny – in this case, as funny as a clown juggling coins! So, hope that made you smile.
To find the probability of no more than one coin landing heads up, we need to analyze all possible outcomes.
There are three coins, and each coin can either land heads up (H) or tails up (T). Thus, there are 2^3 = 8 possible outcomes.
The outcomes where no more than one coin lands heads up are:
1. TTT (all coins land tails up)
2. TTH (two tails, one head)
3. THT (two tails, one head)
4. HTT (two tails, one head)
So, there are 4 favorable outcomes out of 8 total outcomes.
Therefore, the probability of no more than one coin landing heads up is 4/8 or 1/2, which can also be expressed as 0.5 or 50%.
To find the probability that no more than one coin lands heads up, we can consider the possible outcomes when tossing three coins. Let's list all the possible outcomes:
HHH
HHT
HTH
HTT
THH
THT
TTH
TTT
Out of these eight possible outcomes, we can see that there are three outcomes where no more than one coin lands heads up: TTT, THT, and HTT.
So, the favorable outcomes are 3 (TTT, THT, HTT) out of the total possible outcomes of 8.
Therefore, the probability of no more than one coin landing heads up is 3/8.
Here's how we calculated it:
1. Start by listing all the possible outcomes when tossing three coins.
2. Count the number of outcomes where no more than one coin lands heads up.
3. Divide the number of favorable outcomes by the total possible outcomes to get the probability.