two coins are thrown at random .what is the probability of getting a a head and tails in three pros ??
To determine the probability of getting a head and tails in three tosses of two coins, we need to consider all the possible outcomes.
There are two coins, and each coin has two possible outcomes: heads (H) and tails (T).
Therefore, the total number of possible outcomes for two coins is 2 * 2 = 4.
The four possible outcomes for two coin tosses are:
1. HH
2. HT
3. TH
4. TT
Out of these four possible outcomes, there are two outcomes that include both a head and tails: HT and TH.
Thus, the number of favorable outcomes (getting a head and tails) is 2.
The probability is calculated 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 = 2 / 4 = 1/2
Therefore, the probability of getting a head and tails in three tosses of two coins is 1/2 or 0.5, which can also be expressed as 50%.