Question

17.
One card is drawn from a well-shuffled deck of 52 cards. Find the probability of
getting ‘an ace'​

Answer 1

$\huge\bf{\fcolorbox{black}{cyan}{\red{Answer }}}$

$Probability(getting \: an \: ace) = \large{\frac{1}{13} }$

$\huge\bf{\fcolorbox{black}{cyan}{\red{Explanation }}}$

• We know that there are four aces in a deck.
• One from Hearts, one from Diamonds, one from Spades and one from Clubs.
• Total no. of cards = 52.

$\large{ \frak{ \red{formula : }}}$

$P(E) \: = \frac{no. \: of \: favourable \: outcomes}{total \: no. \: of \: outcomes}$

Here,

E = event = getting an ace

No. of favorable outcomes = 4

Total no. of outcomes = 52

$P(E) = \frac{ \cancel4}{ \cancel{52 } \:13}$

$= \frac{1}{13}$