Three coins are tossed. Describe Three events which are mutually exclusive and exhaustive.
Three coins are tossed. Describe Three events which are mutually exclusive and exhaustive.
When three coins are tossed, the sample space is given by
$S =\{ HHH , \,HHT , \,HTH ,\, HTT , \,THH , \,THT , \,TTH , \,TTT \}$
Three events that are mutually exclusive and exhaustive can be
$A:$ getting no heads
$B:$ getting exactly one head
$C:$ getting at least two heads
i.e. $A=\{T T T\}$
$B =\{ HTT , \, THT, \,TTH \}$
$C =\{ HHH , \,HHT ,\, HTH , \,THH \}$
This is because $A \cap B=B \cap C$ $=C \cap A=\phi$ and $A \cup B \cup C=S$
Similar Questions
Two dice are thrown simultaneously. What is the probability of obtaining a multiple of $2$ on one of them and a multiple of $3$ on the other
Two dice are thrown simultaneously. What is the probability of obtaining a multiple of $2$ on one of them and a multiple of $3$ on the other
The two events $A$ and $B$ have probabilities $0.25$ and $0.50$ respectively. The probability that both $A$ and $B$ occur simultaneously is $0.14$. Then the probability that neither $A$ nor $B$ occurs is
The two events $A$ and $B$ have probabilities $0.25$ and $0.50$ respectively. The probability that both $A$ and $B$ occur simultaneously is $0.14$. Then the probability that neither $A$ nor $B$ occurs is
- [IIT 1980]
In a single throw of two dice, the probability of obtaining a total of $7$ or $9$, is
In a single throw of two dice, the probability of obtaining a total of $7$ or $9$, is
Three coins are tossed. Describe Two events which are mutually exclusive but not exhaustive.
Three coins are tossed. Describe Two events which are mutually exclusive but not exhaustive.
The probability of drawing a white ball from a bag containing $3$ black balls and $4$ white balls, is
The probability of drawing a white ball from a bag containing $3$ black balls and $4$ white balls, is