Let a biased coin be tossed 5 times. If the probability of getting 4 heads is equal to the probability of getting 5 heads, then the probability of getting atmost two heads is
$\frac{275}{6^{5}}$
$\frac{36}{5^{4}}$
$\frac{181}{5^{5}}$
$\frac{46}{6^{4}}$
A card is drawn at random from a pack of $100$ cards numbered $1$ to $100$. The probability of drawing a number which is a square is
Three integers are chosen at random from the first $20$ integers. The probability that their product is even, is
$3$ numbers are chosen from first $15$ natural numbers, then probability that the numbers are in arithmetic progression
Words with or without meaning are to be formed using all the letters of the word $EXAMINATION.$ The probability that the letter $\mathrm{M}$ appears at the fourth position in any such word is:
A box contains $25$ tickets numbered $1, 2, ....... 25$. If two tickets are drawn at random then the probability that the product of their numbers is even, is