Question

The probability of getting a head when a biased coin is tossed is 2/5. The coin is tossed three times. Find the following probabilities and select the correct solution. P(three tails) = . P(two tails followed by one head) = .

Answer 1

Answer:

P(three tails) = 27/125 or 21.6%

P(two tails followed by one head) = 18/125 or 14.4%.

Step-by-step explanation:

1. Let's review the information provided to us to answer the questions correctly:

Probability of getting a head when a biased coin is tossed = 2/5

therefore,

Probability of getting a tails when a biased coin is tossed = 3/5

2. Find the following probabilities and select the correct solution.

P(three tails) =

3/5 * 3/5 * 3/5 = 27/125 or 21.6%

P(two tails followed by one head) =

3/5 * 3/5 * 2/5 = 18/125 or 14.4%.