To find the probability of getting all tails when a coin is tossed 5 times, we can use the basic principles of probability.
When a fair coin is tossed, there are two possible outcomes: heads (H) or tails (T). The probability of getting tails on a single toss is:
P(T) = 1/2
Since each toss is independent, the probabilities multiply. Therefore, when tossing a coin 5 times, the probability of getting tails on all 5 tosses is:
P(All Tails) = P(T) × P(T) × P(T) × P(T) × P(T)
This can be simplified to:
P(All Tails) = (1/2)^5
Calculating this gives:
P(All Tails) = 1/32
So, the probability of getting all 5 tosses as tails is 1/32, which is approximately 0.03125 or 3.125%.