Two players play the following game: $A$ writes $3,5,6$ on three different cards: $B$ writes $8,9,10$ on three different cards. Both draw randomly two cards from their collections. Then, $A$ computes the product of two numbers helshe has drawn, and $B$ computes the sum of two numbers he/she has drawn. The player getting the larger number wins. What is the probability that A wins?
$\frac{1}{3}$
$\frac{5}{9}$
$\frac{4}{9}$
$\frac{1}{9}$
In a single throw of two dice, the probability of obtaining a total of $7$ or $9$, is
The probability that a marksman will hit a target is given as $1/5$. Then his probability of at least one hit in $10$ shots, is
One card is drawn from a pack of $52$ cards. The probability that it is a king or diamond 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 Compound ?
A six faced dice is so biased that it is twice as likely to show an even number as an odd number when thrown. It is thrown twice. The probability that the sum of two numbers thrown is even, is