Three different coins are tossed together. Find the probability of getting:A.Exactly two headsB.At least two headsC.At least two tails

We are tossing three different coins, so there are 2 possibilities (heads or tails) for each coin. The total number of possible outcomes is:

2 * 2 * 2 = 8.

These 8 outcomes are:

HHH
HHT
HTH
HTT
THH
THT
TTH
TTT
A. Probability of getting exactly two heads:
We need to count the outcomes with exactly two heads. These are:

HHT
HTH
THH
There are 3 outcomes with exactly two heads. The probability is the number of favorable outcomes divided by the total number of outcomes:

P(exactly two heads) = 3/8.

B. Probability of getting at least two heads:
At least two heads means we have either two heads or three heads. The outcomes with at least two heads are:

HHH
HHT
HTH
THH
There are 4 outcomes with at least two heads. The probability is:

P(at least two heads) = 4/8 = 1/2.

C. Probability of getting at least two tails:
At least two tails means we have either two tails or three tails. The outcomes with at least two tails are:

HTT
THT
TTH
TTT
There are 4 outcomes with at least two tails. The probability is:

P(at least two tails) = 4/8 = 1/2.

Final Answers:
A. P(exactly two heads) = 3/8
B. P(at least two heads) = 1/2
C. P(at least two tails) = 1/2