QUESTION:-
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1] All the face cards of heart are removed from the pack of 52 playing cards and remaining cards are reshuffled. A card is drawn at random. Find the probability of getting.
a) A red face card.
b) A black face card.
c) A red card.
d) A black card.
2] Solve the following pair of equations graphically: 2x+y=6, 2x-y+2=0. Find the ratio of the areas of two triangles formed by the lines with X-axis and Y-axis.
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Verified answer
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There are 3 face cards for each : spade, club, diamond, hearts
When the three face card of heart are removed, we lost :
(i) 3 red cards out of 26
(ii) 3 face cards out of 12
(iii) 3 hearts out of 13
(iv) 3 cards out of 52 in total
Now, coming back to question,
(a) P(red face card) = 3 / 49
(b) P(black face card) = 6/49
(c) P(red card) = 23/49
(d) P(black card) = 26/49