Probability of Coin Toss Outcomes

The video tutorial explains how to calculate the probability of obtaining exactly four heads and at least two heads when a fair coin is tossed six times. It introduces the concept of binomial distribution, detailing the parameters involved, such as the number of trials and the probability of success. The tutorial provides a step-by-step calculation for both scenarios, using the binomial formula and the complement rule to simplify the process. The probability of getting exactly four heads is approximately 23.44%, while the probability of getting at least two heads is about 89.06%.

What is the main problem discussed in the video?

• Calculating the probability of getting exactly four heads and at least two heads when a fair coin is tossed six times.

• Finding the probability of getting all tails in a coin toss.

• Determining the probability of getting at least one head in a coin toss.

• Calculating the probability of getting exactly three heads in a coin toss.

What is the probability of success when tossing a fair coin?

• 1.0

• 0.5

• 0.25

• 0.75

How many independent trials are there in the problem?

• 7

• 6

• 5

• 4

What is the probability of getting exactly four heads in six tosses?

• 75%

• 50%

• 15%

• 23.44%

Which mathematical concept is used to calculate the probability of exactly four heads?

• Binomial distribution

• Poisson distribution

• Normal distribution

• Uniform distribution

What is the complement rule used for in this context?

• To find the probability of getting at least two heads.

• To calculate the probability of getting no heads.

• To calculate the probability of getting all tails.

• To determine the probability of getting exactly one head.

What is the probability of getting at least two heads in six tosses?

• 60%

• 75%

• 50%

• 89.06%

How is the probability of getting at least two heads calculated?

• By multiplying the probabilities of getting zero and one head.

• By dividing the probabilities of getting zero and one head.

• By subtracting the probabilities of getting zero and one head from 1.

• By adding the probabilities of getting zero and one head.

What is the probability of getting zero heads in six tosses?

• 0.015625

• 0.0625

• 0.125

• 0.03125

What is the probability of getting one head in six tosses?

• 0.09375

• 0.1875

• 0.375

• 0.3125