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1.) What is the probability of drawing a ?face card??OR an ?Ace???

2.)What is the probability of drawing a ?heart??OR a ?black card??

3.)What is the probability of drawing a ?jack??OR a ?card under 10? (aces NOT included)?

Answer 1.

A well shuffled deck of 52 cards contains 3 different face cards( A King, A Queen, A Jack) for each of the 4 suits. So in a deck of cards there are total 12 face cards. Also there are 4 aces.

The sum of these cards=12+4=16

$Probabilityofdrawingafacecardoranacefromthedeckona\mathrm{sin}gledraw=\frac{Noofdesiredoutcomes}{totalnoofcards}\phantom{\rule{0ex}{0ex}}P=\frac{16}{52}\phantom{\rule{0ex}{0ex}}P=\frac{4}{13}\phantom{\rule{0ex}{0ex}}$

Answer 2.

A well shuffled deck of 52 cards contains 13 cards of Hearts and 26 Black cards.

No of desired outcome=13+26=39

$P=\frac{39}{52}\phantom{\rule{0ex}{0ex}}P=\frac{3}{4}\phantom{\rule{0ex}{0ex}}$

Answer 3.

A well shuffled deck of 52 cards contains 8 X 4=32 cards below 10 (10 and ace not included). Also 4 jacks.

So, No of desired outcomes=32+4=36

$P=\frac{36}{52}\phantom{\rule{0ex}{0ex}}P=\frac{9}{13}$

Regards

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