Theoretical Probability
Experimental
Impossible, unlikely, likely, certain
word problems
Multiplication
100
A card will be drawn from a deck of 52 cards.
What is the probability of selecting a red card?
1/2
100
A coin was tossed 100 times and it landed on tails 61 times. What is the experimental probability of landing on tails?
61/100
100
3/10ths
Impossible, unlikely, likely, certain
unlikely
100
Jason flips a coin and then rolls a six-sided die. What is the probability that the coin lands heads up and the die shows an even number.
1/4
100
2(16)
32
200
A card will be drawn from a deck of 52 cards.
What is the probability of selecting either an ace or a jack?
2/13
200
A soft drink Factory produces 1,400 bottles a day. The factory taste a sample of 400 units and found that 6 were defected. By calculating the experimental probability that a bottle is defective work out how many defective bottles would be expected in a day.
21 bottles
200
49%
Impossible, unlikely, likely, certain
unlikely
200
Katie has 6 nickles and 7 dimes in her pocket. 5 of the nickles and 1 of the dimes are Canadian. The others are form the US. Suppose Katie randomly selects a coin from her pocket. What is the probability that is a dime or is from the US.
8/13
200
6(74)
444
300
A card will be drawn from a deck of 52 cards.
What is the probability of selecting an even red card?
3/13
300
Two coins are tossed 76 times. The upper faces are observed, and the results are recorded in this table. Determine the experimental probability of getting two tails as a fraction in its simplest form.
tails 0 1 2
Number of occurrences 32 28 16
16/76 or 8/38 or 4/19
300
35/51
Impossible, unlikely, likely, certain
likely
300
Beth has a fruit basket which contains 4 apples, 4 peaches, and 5 pears. If she randomly selects a piece of fruit, what is the probability that it is an apple or peach.
8/13
300
48(15)
720
400
A card will be drawn from a deck of 52 cards.
What is the probability of selecting a king?
1/13
400
Liz flips a coin 50 times. The coin lands heads 20 times, and tails 30 times.
20/50 or 2/5
400
Is it impossible, unlikely, likely, certain to get a purple
impossible
400
A marble collector has 3 green, 4 red, and 5 blur marbles. You will blindly chose 5 marbles.
You cheat and peak, granting >1 green marble. how likely are you to get all green.
SIMPLIFY
21/184
0.114
11%
400
12(63)
756
500
A card will be drawn from a deck of 52 cards.
What is the probability of selecting a spade or a diamond card?
1/2
500
You flip a coin 20 times and got the following results.
outcome Frequency
Heads 7
Tails 13
What is the experimental probability for landing on
13/20
500
Is it Impossible, unlikely, likely, certain to get a pink, purple, and red
likely or equally likely
500
Alison, a teacher at a middle school has 5 boys and 6 girls in her class. Alison randomly selects 3 different students to walk up and give a presentation. Once the presentation is over the student will leave for the day. What is the probability that the first student is a boy, the second is a girl, and the student is a girl?
5/33
500
36(12)
432