Five horses are in a race. $Mr. \,A$ selects two of the horses at random and bets on them. The probability that $Mr.\, A$ selected the winning horse is
$\frac{4}{5}$
$\frac{3}{5}$
$\frac{1}{5}$
$\frac{2}{5}$
Two cards are drawn without replacement from a well-shuffled pack. Find the probability that one of them is an ace of heart
If $P(A) = 0.65,\,\,P(B) = 0.15,$ then $P(\bar A) + P(\bar B) = $
One card is drawn from a well shuffled deck of $52$ cards. If each outcome is equally likely, calculate the probability that the card will be not a black card.
Three coins are tossed. Describe Two events which are mutually exclusive but not exhaustive.
Let $A, B, C$ be three mutually independent events. Consider the two statements ${S_1}$ and ${S_2}$
${S_1}\,\,:\,\,A$ and $B \cup C$ are independent
${S_2}\,\,:\,\,A$ and $B \cap C$ are independent
Then