Two coins are tossed, find the probability that two heads are obtained.
Note: Each coin has two possible outcome H(heads), and T (tails).
Assuming fair coins, the probability of obtaining heads on one coin is 0.5. Obtaining two heads has probability 0.5*0.5.
To find the probability of obtaining two heads when two coins are tossed, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Step 1: Determine the total number of possible outcomes:
When flipping two coins, each coin has two possible outcomes (H for heads and T for tails). Since we have two coins, the total number of possible outcomes is obtained by multiplying the possibilities of each coin together. Hence, the total number of possible outcomes is 2 x 2 = 4.
Step 2: Determine the number of favorable outcomes:
We want to find the probability of getting two heads. This occurs only when both coins land on heads (H). So the number of favorable outcomes in this case is 1.
Step 3: Calculate the probability:
The probability of an event is defined as the number of favorable outcomes divided by the total number of possible outcomes.
In this case, the probability of getting two heads is 1 (number of favorable outcomes) divided by 4 (total number of possible outcomes).
Thus, the probability of obtaining two heads when two coins are tossed is 1/4 or 0.25 (25%).