Three coins are tossed. Describe Two events which are mutually exclusive.
Three coins are tossed. Describe Two events which are mutually exclusive.
When three coins are tossed, the sample space is given by
$S =\{ HHH , \,HHT , \,HTH ,\, HTT , \,THH , \,THT , \,TTH , \,TTT \}$
Two events that are mutually exclusive can be
$A:$ getting no heads and $B:$ getting no tails
This is because sets $A=\{T T T\}$ and $B=\{H H H\}$ are disjoint.
Similar Questions
In a throw of a die, what is the probability of getting a number less than $7$
In a throw of a die, what is the probability of getting a number less than $7$
Choose a number $n$ uniformly at random from the set $\{1,2, \ldots, 100\}$. Choose one of the first seven days of the year $2014$ at random and consider $n$ consecutive days starting from the chosen day. What is the probability that among the chosen $n$ days, the number of Sundays is different from the number of Mondays?
Choose a number $n$ uniformly at random from the set $\{1,2, \ldots, 100\}$. Choose one of the first seven days of the year $2014$ at random and consider $n$ consecutive days starting from the chosen day. What is the probability that among the chosen $n$ days, the number of Sundays is different from the number of Mondays?
- [KVPY 2014]
Seven chits are numbered $1$ to $7$. Three are drawn one by one with replacement. The probability that the least number on any selected chit is $5$, is
Seven chits are numbered $1$ to $7$. Three are drawn one by one with replacement. The probability that the least number on any selected chit is $5$, is
The probability of happening an event $A$ is $0.5$ and that of $B$ is $0.3$. If $A$ and $B$ are mutually exclusive events, then the probability of happening neither $A$ nor $B$ is
The probability of happening an event $A$ is $0.5$ and that of $B$ is $0.3$. If $A$ and $B$ are mutually exclusive events, then the probability of happening neither $A$ nor $B$ is
- [IIT 1980]
A coin is tossed. If it shows a tail, we draw a ball from a box which contains $2$ red and $3$ black balls. If it shows head, we throw a die. Find the sample space for this experiment.
A coin is tossed. If it shows a tail, we draw a ball from a box which contains $2$ red and $3$ black balls. If it shows head, we throw a die. Find the sample space for this experiment.