two coins are tossed how many possible outcomes are there
When two coins are tossed, there are four possible outcomes. These outcomes are:
1. Both coins land on heads.
2. Both coins land on tails.
3. The first coin lands on heads and the second coin lands on tails.
4. The first coin lands on tails and the second coin lands on heads.
Hence, there are four possible outcomes when two coins are tossed.
When two coins are tossed, there are four possible outcomes:
1. Heads on both coins (HH)
2. Tails on both coins (TT)
3. Head on the first coin and tail on the second coin (HT)
4. Tail on the first coin and head on the second coin (TH)
So, there are four possible outcomes when two coins are tossed.
To determine the number of possible outcomes when two coins are tossed, we can use the concept of the sample space.
The sample space represents all the possible outcomes of an experiment. In this case, each coin can either land on heads (H) or tails (T). So, for each coin, there are two possibilities.
To calculate the number of outcomes, we multiply the number of possibilities for each coin. Since there are 2 possibilities for the first coin and 2 possibilities for the second coin, the total number of outcomes is obtained by multiplying 2 by 2:
2 × 2 = 4
Therefore, there are four possible outcomes when two coins are tossed. These outcomes are: HH, HT, TH, and TT.
Alternatively, you can list all the possible outcomes systematically to ensure you haven't missed any:
1. First coin: H, Second coin: H (HH)
2. First coin: H, Second coin: T (HT)
3. First coin: T, Second coin: H (TH)
4. First coin: T, Second coin: T (TT)