Answer
Verified
419.1k+ views
Hint- Here, we will be proceeding by analyzing all the possible outcomes when three unbiased coins are tossed together.
Given, three unbiased coins are tossed together.
The possible cases or outcomes which will arise are given by
\[{\text{(H,H,H),(H,H,T),(H,T,H),(T,H,H),(H,T,T),(T,H,T),(T,T,H)}},(T,T,T)\] where H represents head occurring and T represents tail occurring.
As we know that the general formula for probability is given as
\[{\text{Probability of occurrence of an event}} = \dfrac{{{\text{Total number of favorable outcomes}}}}{{{\text{Total number of possible outcomes}}}}\]
Here, the favorable event is the occurrence of two heads when three coins are tossed together.
Therefore, favorable cases where two heads occur when three coins are tossed together are \[{\text{(H,H,T),(H,T,H),(T,H,H)}}\].
Clearly, Total number of favorable outcomes\[ = 3\] and Total number of possible outcomes\[ = 8\].
Therefore, Probability of occurrence of two heads when three unbiased coins are tossed together\[ = \dfrac{3}{8}\].
Note- These types of problems are solved with the help of the general formula of probability in which the favorable event is referred to as the event of getting two heads when three unbiased coins are tossed together. Here, all the possible cases which can occur need to be considered.
Given, three unbiased coins are tossed together.
The possible cases or outcomes which will arise are given by
\[{\text{(H,H,H),(H,H,T),(H,T,H),(T,H,H),(H,T,T),(T,H,T),(T,T,H)}},(T,T,T)\] where H represents head occurring and T represents tail occurring.
As we know that the general formula for probability is given as
\[{\text{Probability of occurrence of an event}} = \dfrac{{{\text{Total number of favorable outcomes}}}}{{{\text{Total number of possible outcomes}}}}\]
Here, the favorable event is the occurrence of two heads when three coins are tossed together.
Therefore, favorable cases where two heads occur when three coins are tossed together are \[{\text{(H,H,T),(H,T,H),(T,H,H)}}\].
Clearly, Total number of favorable outcomes\[ = 3\] and Total number of possible outcomes\[ = 8\].
Therefore, Probability of occurrence of two heads when three unbiased coins are tossed together\[ = \dfrac{3}{8}\].
Note- These types of problems are solved with the help of the general formula of probability in which the favorable event is referred to as the event of getting two heads when three unbiased coins are tossed together. Here, all the possible cases which can occur need to be considered.
Recently Updated Pages
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
How do you arrange NH4 + BF3 H2O C2H2 in increasing class 11 chemistry CBSE
Is H mCT and q mCT the same thing If so which is more class 11 chemistry CBSE
What are the possible quantum number for the last outermost class 11 chemistry CBSE
Is C2 paramagnetic or diamagnetic class 11 chemistry CBSE
Trending doubts
How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE
Which type of bond is stronger ionic or covalent class 12 chemistry CBSE
What organs are located on the left side of your body class 11 biology CBSE
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Difference Between Plant Cell and Animal Cell
How fast is 60 miles per hour in kilometres per ho class 10 maths CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
When people say No pun intended what does that mea class 8 english CBSE