If you toss 4 coins, what is the probability of getting exactly 1 head and 3 tails?
1/16
1/4
3/8
1/2
Of the 16 possibilities, you can get one head and three tails in these ways.
HTTT, THTT, TTHT, TTTH.
Do the calculations.
To find the probability of getting exactly 1 head and 3 tails when tossing 4 coins, we need to calculate the number of successful outcomes (getting 1 head and 3 tails) and divide it by the total number of possible outcomes.
Step 1: Calculate the number of successful outcomes:
When tossing 4 coins, the number of ways to get exactly 1 head and 3 tails is given by:
4C1 * 2C3 = 4 * 1 = 4
Step 2: Calculate the total number of possible outcomes:
When tossing 4 coins, the total number of possible outcomes is 2^4 = 16. (Each coin can land either heads or tails, and there are 4 coins.)
Step 3: Calculate the probability:
The probability of getting exactly 1 head and 3 tails is the number of successful outcomes (4) divided by the total number of possible outcomes (16):
Probability = 4/16.
Simplifying the fraction, we have:
Probability = 1/4.
So, the answer is 1/4.
To find the probability of getting exactly 1 head and 3 tails when tossing 4 coins, we need to consider the total number of possible outcomes and the number of favorable outcomes.
Total number of possible outcomes: When tossing a coin, there are 2 possibilities - either a head (H) or a tail (T). Since we are tossing 4 coins, the total number of possible outcomes is 2^4 = 16.
Number of favorable outcomes: To get exactly 1 head and 3 tails, there are 4 different ways it can occur:
1. Head-Tail-Tail-Tail (HTTT)
2. Tail-Head-Tail-Tail (THTT)
3. Tail-Tail-Head-Tail (TTHT)
4. Tail-Tail-Tail-Head (TTHT)
So, there are 4 favorable outcomes.
Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 4 / 16
Probability = 1/4
Therefore, the probability of getting exactly 1 head and 3 tails when tossing 4 coins is 1/4.