When three coins are tossed simultaneously What is the probability of getting at least one tail?

Solution:

When three coins are tossed the total number of possible combinations are 23 = 8.

These combinations are HHH, HHT, HTH, THH, TTH, THT, HTT, TTT.

The number of combinations which have two heads and one tail are:

HHT, HTH, TTH which makes them 3 in number.

Therefore the Probability of getting two heads and one tails in the toss of three coins simultaneously is defined as:

P(Two heads and One Tail) = Number of desired outcomes

= 3 = 0.375


Three coins are tossed at once. What is the probability of two heads and one tail?

Summary:

The Probability of getting two heads and one tails in the toss of three coins simultaneously is 3/8 or 0.375.

Solution:

The likelihood of an event happening is measured by probability. Many things are difficult to completely predict in advance. Using it, we can only forecast the probability, or likelihood, of an event occurring.

Given: Three coins are tossed simultaneously.

When three coins are tossed then the outcome will be anyone of these combinations.

TTT, THT, TTH, THH. HTT, HHT, HTH, HHH.

So, the total number of outcomes is 8.

For getting at least one head and one tail the cases are THT, TTH, THH, HTT, HHT, and HTH.

So, the total number of favourable outcomes i.e. at least one tail and one head is 6

We know that, Probability = Number of favourable outcomes/ Total number of outcomes

Thus, the probability of getting at least one head and one tail = 6/8 = 3/4


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Updated On: 27-06-2022

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Text Solution

`(1)/(2)``(2)/(3)``(3)/(4)``(3)/(8)`

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What is the probability of getting at least one tail when 3 coins are tossed?

Hence, the required probability is 1 – 18 = 78.

When 3 coins are tossed simultaneously What is the probability of getting at most 1 tail?

=1/2. Was this answer helpful?

When 3 coins are tossed simultaneously What is the probability of getting at least one head *?

The probability of getting at least one head is 7/8.

What is the probability of getting at least 1 tails?

Probability of getting at least one tail is 3/4.