Describe the sample space for the indicated experiment: A coin is tossed three times.
A coin has two faces: head $(H)$ and tail $(T)$.
When a coin is tossed three times, the total number of possible outcome is $2^{3}=8$
Thus, when a coin is tossed three times, the sample space is given by :
$S =\{ HHH ,\, HHT ,\, HTH ,\, HTT , \,THH , \,THT , \,TTH , \,TTT \}$
In order to get at least once a head with probability $ \ge 0.9,$ the number of times a coin needs to be tossed is
A bag contains $9$ discs of which $4$ are red, $3$ are blue and $2$ are yellow. The discs are similar in shape and size. A disc is drawn at random from the bag. Calculate the probability that it will be yellow.
Two dice are thrown. The events $A,\, B$ and $C$ are as follows:
$A:$ getting an even number on the first die.
$B:$ getting an odd number on the first die.
$C:$ getting the sum of the numbers on the dice $\leq 5$
State true or false $:$ (give reason for your answer)
Statement : $A^{\prime}$, $B^{\prime}, C$ are mutually exclusive and exhaustive.
The probability of choosing at random a number that is divisible by $6$ or $8$ from among $1$ to $90$ is equal to
In a single throw of two dice what is the probability of getting a total $13$