Video When two coins are tossed simultaneously what are the chances of getting at least one tail ?

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Two coins are tossed simultaneously. Find the probability of getting Head on one coin and Tail on the other coin. Two coins are tossed simultaneously. What is the probability of getting least one tail? Two coins are tossed simultaneously. Find the probability of getting Head on one coin and Tail on the other coin.Related VideosWhat is the probability of tossing least one tail?What is the probability of getting only one tail?

Two coins are tossed simultaneously. Find the probability of getting Head on one coin and Tail on the other coin.

Answer

When two coins are tossed simultaneously what are the chances of getting at least one tail

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Hint: First, find the sample space of the problem. Next, find the number of elements in the sample space = total number of outcomes. Now, let E be an sự kiện when the head appears on one coin and the tail on another coin. Find the set E and find the number of elements in the sample space = total number of outcomes. Next, use the formula: $P(E)=dfractextnumber of favourable outcomestexttotal number of outcomes$ to get the final answer.

Complete step-by-step answer:

In this question, we are given that two fair coins are tossed simultaneously.

We need to find the probability of getting Head on one coin and Tail on the other coin.

When two coins are tossed simultaneously, the sample space is given by : S = HH, HT, TH, TT where, H is the appearance of Head and T is the appearance of the Tail on the coin.
So, the number of elements in the sample space = total number of outcomes is given by the following:

n (S) = 4

Let E be an sự kiện when the head appears on one coin and the tail on another coin. E:HT,TH
So, the number of elements in the E = number of favourable outcomes is given by the following:

n (E) = 2

Now, we know that probability of an sự kiện is equal to the number of favourable outcomes divided by the total number of outcomes. i.e. $P(E)=dfractextnumber of favourable outcomestexttotal number of outcomes$

Using the above formula, we will get the following:

$P(E)=dfrac24=dfrac12$

Hence, the probability of getting Head on one coin and Tail on the other coin is equal to $dfrac12$.

This is the final answer.

Note: In this question, it is very important to know what a sample space is. In probability theory, the sample space of an experiment or random trial is the set of all possible outcomes or results of that experiment.

Two different coins are tossed simultaneously .Find the probability of getting :

(iii) atleast one tail

Solution

Possible outcomes for tossing two coins are : HH, HT, TH, TT
So the number of outcomes = 4

favorable outcomes are: TT, TH, HT

P(At least one tail) = `3/4`

Concept: Simple Problems on Single Events

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Two coins are tossed simultaneously. What is the probability of getting least one tail?

HomeMathAll Questions

Answer:

^@dfrac 3 4 ^@

Step by Step Explanation:

When two coins are tossed simultaneously, all possible outcomes are ^@ HH, HT, TH, TT^@.

The total number of all possible outcomes = ^@4^@.

Let ^@E^@ be the sự kiện of getting least one tail.

Therefore, ^@E^@ is the sự kiện of getting ^@1^@ tail or ^@2^@ tails.

So, the favourable outcomes from ^@ HH, HT, TH, TT^@ are ^@HT, TH^@ and ^@TT^@.

Number of favourable outcomes = 3. @^ beginaligned therefore space P(textgetting least one tail) = P(E) = dfrac 3 4 . endaligned @^

Therefore, the probabilty of getting least one tail is ^@dfrac 3 4 ^@.

Solution:

While tossing a coin, the outcome is a head or a tail. When two coins are tossed simultaneously, the sample space is as follows:

S = HH, HT, TH, TT when H denotes Head and T denotes tail.

When probability = Number of favorable outcomes/total number of outcomes, we get

P(Head on one and Tail on other) = P(HT) + P(TH)

= 1/4 + 1/4

= 2/4

=1/2

Therefore, the probability of getting Head on one coin and Tail on the other coin is 1/2.

Two coins are tossed simultaneously. Find the probability of getting Head on one coin and Tail on the other coin.

Summary:

When two coins are tossed simultaneously, the probability of getting head on one coin and tail on the other coin is 1/2.

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Two coins are tossed simultane...

Updated On: 27-06-2022

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

Answer : C::D

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