Table of Contents

- 1 What is the probability of four consecutive flips of a coin?
- 2 What is the probability of getting tails 4 times in a row?
- 3 What is the probability of flipping a coin 3 times and getting 3 heads?
- 4 What is the probability of obtaining 3 heads in four flips of a fair coin?
- 5 How many ways can 3 coins be flipped?
- 6 What is the probability that when a coin is flipped six times in a row it lands heads up every time?

## What is the probability of four consecutive flips of a coin?

1/16

1) Consider the experiment of flipping of 4 coins. If we assume that each individual coin is equally likely to come up heads or tails, then each of the above 16 outcomes to 4 flips is equally likely. Each occurs a fraction one out of 16 times, or each has a probability of 1/16.

## What is the probability of getting tails 4 times in a row?

The probability of getting 4 heads in a row is 1/2 of that, or 1/16.

**What is the sample space of tossing a coin 4 times?**

We know that a coin can give heads or tails that is 2 outcomes. If it is tossed n times then it can give 2n outcomes. Here it is being tossed 4 times it means it will give 24=16 outcomes. So, the total number of outcomes is 16.

**What is P when you flip a coin?**

After staring at this paper for a few minutes, you decide what you have is data on which face of a coin landed upright on a given flip, for a total of 6 flips. A fair coin in your opinion is one that has the same chance of falling on heads as it does tails, or 50-50. This is your null hypothesis: P(tails)=0.5.

### What is the probability of flipping a coin 3 times and getting 3 heads?

0.125

Answer: If you flip a coin 3 times the probability of getting 3 heads is 0.125.

### What is the probability of obtaining 3 heads in four flips of a fair coin?

N=3: To get 3 heads, means that one gets only one tail. This tail can be either the 1st coin, the 2nd coin, the 3rd, or the 4th coin. Thus there are only 4 outcomes which have three heads. The probability is 4/16 = 1/4.

**What is the probability of flipping a coin 4 times and getting all tails?**

Answer: If you flip a coin 4 times, the probability of getting all heads is 1/16.

**What is the probability of flipping a coin 4 times and getting 2 heads?**

Thus the probability is: 2/8=0.25 but the correct answer is 0.375.

#### How many ways can 3 coins be flipped?

eight possible

The number of different outcomes when three coins are tossed is 2 × 2 × 2 = 8. All eight possible outcome are HHH, HHT, HTH, HTT, THH, THT, TTH, and TTT.

#### What is the probability that when a coin is flipped six times in a row it lands heads up every time?

Flipping or tossing of a fair coin are an independent process. Probability of flipping heads 6 times in a row by a fair coin = 1/2⁶ = 1/64 .

**How much do you get paid if the coin comes up heads 3 times?**

Translated to money, in 27 trials you can expect: (8 x $300 = $2400) for three heads, (12 x $200 = $2400) for two heads, (6 x $100 = $600) for two tails. This adds up to $5,400, an average of $200 per play. If you have to pay more than that, you will lose money in the long run.

**What is the probability of flipping three heads in a row?**

1/8

Answer: If a coin is tossed three times, the likelihood of obtaining three heads in a row is 1/8.