# A1 BTC Math Worksheet

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A card is drawn randomly from a standard 52-card deck. Find the probability of the given event.
(a) The card drawn is 6
The probability is :
(b) The card drawn is a face card (Jack, Queen, or King)
The probability is :
(c) The card drawn is not a face card.
The probability is :
Answers should be in fractional form.
Suppose a jar contains 16 red marbles and 23 blue marbles. If you reach in the jar and pull out 2 marbles at
random at the same time, find the probability that both are red.
Answer should be in fractional form.
Giving a test to a group of students, the grades and gender are summarized below
А B
Male 13 5
Female 7 3
Total 208
с
8
16
Total
26
26
52
24
If one student is chosen at random,
Find the probability that the student was male OR got an “A”.
Round answer 4 places after the decimal if needed.
Giving a test to a group of students, the grades and gender are summarized below
UD
0100
с
19
15
A
Male
Female 13
Total 28
B
6
8
14
Total
40
39
79
18
cot
37
If one student is chosen at random,
Find the probability that the student was male AND got a “C”.
Round answer 4 places after the decimal if needed.
5 cards are drawn at random from a standard deck.
Find the probability that all the cards are hearts.
Find the probability that all the cards are face cards.
Note: Face cards are kings, queens, and jacks.
Find the probability that all the cards are even.
(Consider aces to be 1, jacks to be 11, queens to be 12, and kings to be 13)
Answers can be entered as unreduced fractions.

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