## When two coins are tossed what is the probability of getting two tails?

(ii) getting two tails: Then, E2 = {TT} and, therefore, n(E2) = 1. Therefore, P(getting 2 tails) = P(E2) = n(E2)/n(S) = 1/4.

## When two fair coins are tossed the probability of at least one head is?

The probability of getting heads on the toss of a coin is 0.5. If we consider all possible outcomes of the toss of two coins as shown, there is only one outcome of the four in which both coins have come up heads, so the probability of getting heads on both coins is 0.25.

**What is the probability of flipping two fair coins and having both show tails?**

Each coin has a 50–50 chance of getting a head and a 50–50 chance of getting a tail. So there are 4 results when flipping 2 coins, only one of which gives you two tails. Therefore the chance of flipping 2 tails is 25\%.

**When 2 coins are tossed what will be the probability of getting same outcome on both coins?**

1/4

We have only one outcome where both the coins have ‘heads’. ⇒ P(E) = Number of favorable outcomes/Total number of outcomes. Therefore, the probability that both coins will land on “heads” is 1/4.

### What is the probability of two dice rolled?

Since there are six possible outcomes, the probability of obtaining any side of the die is 1/6. The probability of rolling a 1 is 1/6, the probability of rolling a 2 is 1/6, and so on.

### What is the probability of getting at 2 in the role of two fair dice given that the sum is 7?

In throwing two dice the favorable cases of getting the sum as 7 are: (1, 6), (6, 1), (2, 5), (5, 2), (3, 4), (4, 3). Therefore, the required probability is 6/36 or 1/6.

**What is the probability of dice?**

Two (6-sided) dice roll probability table

Roll a… | Probability |
---|---|

2 | 1/36 (2.778\%) |

3 | 3/36 (8.333\%) |

4 | 6/36 (16.667\%) |

5 | 10/36 (27.778\%) |

**How do you find the sum of two dice rolling?**

You must roll a 1 and a 2 or you must roll a 2 and a 1. The combinations for rolling a sum of seven are much greater (1 and 6, 2 and 5, 3 and 4, and so on). To find the probability that the sum of the two dice is three, we can divide the event frequency (2) by the size of the sample space (36), resulting in a probability of 1/18.

#### How do you find the probability of rolling two fair dice?

In other words, the frequency of each number is 1. To determine the probability of rolling any one of the numbers on the die, we divide the event frequency (1) by the size of the sample space (6), resulting in a probability of 1/6. Rolling two fair dice more than doubles the difficulty of calculating probabilities.

#### What are the rules for tossing a coin?

A fair coin is tossed. If a head turns up, a fair die is tossed; if a tail turns up, two fair dice are tossed.

**What is the probability that the sum of the two dice?**

To find the probability that the sum of the two dice is three, we can divide the event frequency (2) by the size of the sample space (36), resulting in a probability of 1/18. 3. Two six-sided dice are rolled.