A coin is tossed twice. What is the probability of tossing 2 tails? What is the probability of tossing 1 tail & 1 head? can you please show me how to do this problem?
You can make a diagram
heads heads
heads tails
tails heads
tails tails
one way out of 4 is both tails
two ways out of 4 is a tail and a head
so
1/4 for both tails
and 1/2 for a head and a tail (tail and head same as head and tail)
Thank you for explaining to me!
WOW you are so good at it maybe. You can help on my homework sometime
To find the probability of tossing 2 tails, you need to consider the total number of possible outcomes and the number of favorable outcomes.
Step 1: Determine the total number of possible outcomes.
When a coin is tossed twice, there are 2 possible outcomes for each toss: heads or tails. Since there are 2 tosses, the total number of possible outcomes is 2 multiplied by 2, which equals 4.
Step 2: Determine the number of favorable outcomes.
To get 2 tails, both tosses must result in tails. There is only 1 possible outcome for this: Tails on the first toss and tails on the second toss.
Step 3: Calculate the probability of tossing 2 tails.
The probability of an event is equal to the number of favorable outcomes divided by the number of possible outcomes. In this case, the probability of tossing 2 tails is 1 divided by 4, which simplifies to 1/4 or 0.25.
Now let's move on to calculating the probability of tossing 1 tail and 1 head.
Step 1: Determine the total number of possible outcomes.
Since there are 2 possible outcomes for each toss, the total number of possible outcomes is 2 multiplied by 2, which equals 4.
Step 2: Determine the number of favorable outcomes.
To get 1 tail and 1 head, there are multiple possibilities: Tail on the first toss and head on the second toss, or head on the first toss and tail on the second toss. In both cases, there is 1 favorable outcome.
Step 3: Calculate the probability of tossing 1 tail and 1 head.
The probability of tossing 1 tail and 1 head is 1 divided by 4, which simplifies to 1/4 or 0.25.
Therefore, the probability of tossing 2 tails is 0.25, and the probability of tossing 1 tail and 1 head is also 0.25.