Probability of Getting Four Heads

The video tutorial explains a dependent probability problem involving four coins, three of which are unfair with a 45% chance of tails, and one fair coin. The task is to calculate the probability of getting four heads in a row. The tutorial walks through the process of calculating the probability for both unfair and fair coins separately, and then combines these probabilities to find the total probability of getting four heads. The final result is a slightly higher probability than if all coins were fair, due to the presence of unfair coins with a better chance of heads.

What is the main problem discussed in the video?

• Understanding the concept of independent events.

• Understanding the concept of fair coins.

• Calculating the probability of getting four tails.

• Calculating the probability of getting four heads.

How many unfair coins are there in the bag?

• 1

• 3

• 2

• 4

What is the probability of selecting an unfair coin from the bag?

• 1/3

• 1/4

• 1/2

• 3/4

What is the probability of getting heads with an unfair coin?

• 60%

• 55%

• 50%

• 45%

How is the probability of getting four heads with an unfair coin calculated?

• 0.45 to the fourth power

• 0.55 to the fourth power

• 0.5 to the fourth power

• 0.6 to the fourth power

What is the probability of getting heads with a fair coin?

• 45%

• 60%

• 55%

• 50%

How is the probability of getting four heads with a fair coin calculated?

• 0.6 to the fourth power

• 0.5 to the fourth power

• 0.55 to the fourth power

• 0.45 to the fourth power

What is the probability of getting four heads in a row with a fair coin?

• 10%

• 8.43%

• 6.9%

• 1.6%

What is the overall probability of getting four heads in a row?

• 9%

• 6.9%

• 8.43%

• 7.5%

Why is the overall probability of getting four heads higher than if all coins were fair?

• Because the coins are biased towards tails.

• Because there are more fair coins.

• Because there is a higher chance of selecting an unfair coin.

• Because the probability of tails is higher.