# How many outcomes are there when flipping 4 coins?

## How many outcomes are there when flipping 4 coins?

16 possible outcomes
Four Flips Suppose we flip a coin four times. Since each flip can come up heads or tails, there are 16 possible outcomes, tabulated below, grouped by the number of heads in the four flips. Number of Ways summarises how many different ways the results of the four flips could end up with a given number of heads.

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

Summary: The probability of getting tails 4 times in a row when you flip a coin is 1/16.

What is the sample space of flipping a coin 4 times?

Expert-verified answer Given that A coin is tossed 4 times. Sample space: {HHHH,HHHT, HHTH,HHTT,HTHH,HTHT,HTTH,HTTT,THHH,THHT,THTH,THTT,TTHH,TTHT,TTTH,TTTT}. Total possible outcomes = 16.

### How many different outcomes have at most 4 heads?

=20×19×18×1724=4845 different ways to have 4 Heads and 16 Tails – and so many more ways to have happen than all Heads. Like 4845 times more ways.

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

This means the probability of landing all 4 heads in 4 tosses is 1 out of the 16. So the answer is 1/16.

What is the probability of flipping a coin 4 times and landing on heads each time?

1/16
Answer: If you flip a coin 4 times, the probability of getting all heads is 1/16. Let’s look into the possible outcomes.

#### When a coin is tossed 4 times find the probability of getting at most three heads?

Solution : Since each of ht 4 flips has 2 possible outcomes (heads or tails), there are `2^(4)=16` outcomes in the sample space. At least 3 heads means 3 or 4 heads. `((4),(3))=4` ways to get 3 heads. `((4),(4))=1` way to get 4 heads and `(4+1)/(16)=(5)/(16)`.

When a coin is tossed 4 times find the probability of getting exactly one head?

A coin has been tossed 4 times. ∴ The probability of getting at least one head is 15/16.

When you flip a coin four times what is the probability that it will come up heads exactly twice?

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

## What is the probability of getting at least one tail when a coin is tossed 4 times?

How do you calculate the probability of flipping a coin?

Therefore, using the probability formula:

1. On tossing a coin, the probability of getting head is: P(Head) = P(H) = 1/2.
2. Similarly, on tossing a coin, the probability of getting a tail is: P(Tail) = P(T) = 1/2.

What is a coin flip probability?

The image of a flipping coin is invariably connected with the concept of “chance.” So it is no wonder that coin flip probabilities play a central role in understanding the basics of probability theory.

### What is the probability of tossing four coins and getting two heads?

Clearly, the favourable affair after tossing four coins are (T,T,H,H), (T,H,T,H), (T,H,H,T), (H,T,T,H), (H,T,H,T) and (H,H,T,T). Probability of occurring two heads and two tails =6/16=3/8.

What is the sample space of a coin flip?

For example, when we flip a coin, we can either get Heads ( H) or Tails ( T ). So the sample space is S = { H, T }. Every subset of a sample space is called an event.

What happens when you flip a coin multiple times?

When we flip a coin multiple times, the outcome of any one flip does not affect the other flips’ outcomes, so the events are independent. Remember from basic probability theory that when two events, say E 1 and E 2, are independent, the probability of the event E 1 AND E 2 is given as