A coin is tossed 4 times, the probability that all heads and all tails will appear is??
1/8
Hello. I'm Kitty. Here's your help:
one-eighth
To find the probability of getting all heads and all tails when tossing a coin four times, we need to calculate the probability of these specific outcomes and then add them together.
The probability of getting a head or a tail on each individual coin toss is both 1/2 or 0.5, assuming a fair coin. So, to get all heads in four tosses, we need to multiply 0.5 by itself four times because each toss is independent. Similarly, to get all tails, we need to calculate the same probability.
The probability of getting all heads:
0.5 * 0.5 * 0.5 * 0.5 = 0.0625
The probability of getting all tails:
0.5 * 0.5 * 0.5 * 0.5 = 0.0625
Finally, we sum up the probabilities of both outcomes because they are mutually exclusive. So:
0.0625 + 0.0625 = 0.125
Therefore, the probability of getting either all heads or all tails when tossing a coin four times is 0.125 or 12.5%.