A biased coin is tossed 3 times.
The probability that the coin will land on heads is 0.6
The probability that the coin will land on tails three times is less than 0.1
Is this correct?
Show all your working.
the prob that the biased coin is tails = .4
so prob(3tails) = .4^3 = .064
So what do you think?
To determine the probability of getting heads or tails when tossing a biased coin, we'll use the concept of probability and the given information.
Let's first find the probability of getting heads three times in a row. Since each coin toss is independent, we can multiply the probabilities of each individual toss. The probability of getting heads on a single toss is given as 0.6.
P(3 heads) = P(heads) * P(heads) * P(heads)
= 0.6 * 0.6 * 0.6
= 0.216
Therefore, the probability of getting heads three times in a row is 0.216 or 21.6%.
Now, let's find the probability of getting tails three times in a row. We are given that the probability is less than 0.1 (or 10%).
P(3 tails) < 0.1
Based on this information, we cannot make a direct calculation of the probability of getting tails three times. However, we can infer that if the probability of getting heads three times is 0.216 (or 21.6%), which is significantly larger than 0.1 (or 10%), the probability of getting tails three times is indeed less than 0.1.
Hence, based on the given information and calculations, it is correct to say that the probability of the coin landing on tails three times is less than 0.1.