If three students $A, B, C$ independently solve a problem with probabilitities $\frac{1}{3},\frac{1}{4}$ and $\frac{1}{5}$ respectively, then the probability that the problem will be solved is

From a well shuffled pack of cards one card is drawn at random. The probability that the card drawn is an ace is

Three coins are tossed once. Find the probability of getting $3 $ heads

A coin is tossed three times, consider the following events.

$A: $ ' No head appears ',  $B:$ ' Exactly one head appears ' and  $C:$ ' Atleast two heads appear '

Do they form a set of mutually exclusive and exhaustive events?

Two numbers are selected randomly from the set $S = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}$ without replacement one by one. The probability that minimum of the two numbers is divisible by $3$ or maximum of the two numbers is divisible by $4$ , is 

A determinant is chosen at random from the set of all determinants of order $2$ with elements $0$ or $1$ only. The probability that the determinant chosen is non-zero is