One card is drawn at random from a pack of well shuffled pack of 52 cards. Find the probability that the card drawn is an ace and black

Asked by GURSHARNSUITS | 17th Dec, 2015, 08:48: PM

Expert Answer:

T h e r e space a r e space 52 space c a r d s space i n space t o t a l. T h u s comma space n left parenthesis S right parenthesis equals 52 comma space w h e r e space S space i s space t h e space s a m p l e space s p a c e. T h e r e space a r e space 26 space b l a c k space c a r d s space a n d space o u t space o f space w h i c h space 2 space c a r d s space a r e space b l a c k. T h u s comma space t h e space n u m b e r space o f space w a y s space t o space d r a w n space a space b l a c k space a c e space c a r d space i s space 2. rightwards double arrow n left parenthesis A right parenthesis equals 2 comma space w h e r e space A space i s space t h e space e v e n t space o f space d r a w i n g space a space b l a c k space a c e space c a r d.  T h e r e f o r e comma space t h e space p r o b a b i l i t y space o f space d r a w i n g space a space b l a c k space a c e space c a r d equals fraction numerator n open parentheses A close parentheses over denominator n open parentheses S close parentheses end fraction equals 2 over 52 equals 1 over 26

Answered by Vimala Ramamurthy | 18th Dec, 2015, 08:49: AM