A card is drawn randomly from a pack of playing cards. Then the probability that it is neither ace nor king, is

An unbiased die is tossed until a number greater than $4$ appears. The probability that an even number of tosses is needed is

The chance of India winning toss is $3/4$. If it wins the toss, then its chance of victory is $4/5$ otherwise it is only $1/2$. Then chance of India's victory is

The probability of choosing at random a number that is divisible by $6$ or $8$ from among $1$ to $90$ is equal to

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 : $A$ and $B^{\prime }$ are mutually exclusive

A die is thrown. Describe the following events : $A$ : a number less than $7.$ , $B:$ a number greater than $7.$ , $C$ : a multiple of $3.$ Find the $B \cup C$