Two coins (a one rupee coin and a two rupee coin) are tossed once. Find a sample space.
Two coins (a one rupee coin and a two rupee coin) are tossed once. Find a sample space.
Clearly the coins are distinguishable in the sense that we can speak of the first coin and the second coin. since either coin can turn up Head $(H)$ or Tail $(T)$, the possible outcomes may be
Heads on both coins $=( H , \,H )= HH$
Head on first coin and Tail on the other $=( H ,\,T )= HT$
Tail on first coin and Head on the other $=(T, \,H)=T H$
Tail on both coins $=(T,\, T)=T T$
Thus, the sample space is $S =\{ HH ,\, HT , \,TH , \,TT \}$
Similar Questions
In a throw of three dice, the probability that at least one die shows up $1$, is
In a throw of three dice, the probability that at least one die shows up $1$, is
A locker can be opened by dialing a fixed three digit code (between $000$ and $999$). A stranger who does not know the code tries to open the locker by dialing three digits at random. The probability that the stranger succeeds at the ${k^{th}}$ trial is
A locker can be opened by dialing a fixed three digit code (between $000$ and $999$). A stranger who does not know the code tries to open the locker by dialing three digits at random. The probability that the stranger succeeds at the ${k^{th}}$ trial is
A die has two faces each with number $^{\prime}1^{\prime}$ , three faces each with number $^{\prime}2^{\prime}$ and one face with number $^{\prime}3^{\prime}$. If die is rolled once, determine $P(1$ or $3)$
A die has two faces each with number $^{\prime}1^{\prime}$ , three faces each with number $^{\prime}2^{\prime}$ and one face with number $^{\prime}3^{\prime}$. If die is rolled once, determine $P(1$ or $3)$
From a pack of $52$ cards, two cards are drawn one by one without replacement. The probability that first drawn card is a king and second is a queen, is
From a pack of $52$ cards, two cards are drawn one by one without replacement. The probability that first drawn card is a king and second is a queen, is
Three coins are tossed once. Let $A$ denote the event ' three heads show ', $B$ denote the event ' two heads and one tail show ' , $C$ denote the event ' three tails show and $D$ denote the event 'a head shows on the first coin '. Which events are simple ?
Three coins are tossed once. Let $A$ denote the event ' three heads show ', $B$ denote the event ' two heads and one tail show ' , $C$ denote the event ' three tails show and $D$ denote the event 'a head shows on the first coin '. Which events are simple ?