Practicing skills in probability, including drawing tree diagrams, 2d diagrams, and listing the possible outcomes. Calculating theoretical probability.
A ticket is randomly selected from a basket containing 4 green, 5 yellow, and 6 blue tickets. Determine the probability of getting: a green ticket
P(G) = 4/15
10
A ticket is randomly selected from a basket containing 4 green, 5 yellow, and 6 blue tickets. Determine the probability of getting: a yellow ticket
P(Y) = 5/15 = 1/3
10
A ticket is randomly selected from a basket containing 4 green, 5 yellow, and 6 blue tickets. Determine the probability of getting: a blue or orange ticket
P(B or O)= 6/15 + 0 = 2/5
15
A ticket is randomly selected from a basket containing 4 green, 5 yellow, and 6 blue tickets. Determine the probability of getting: a green or blue ticket
P(G or B) = 10/15 = 2/3
15
List the different orders in which Ania, Kasia, and Nacia may sit in a row.
{AKN, ANK, KAN, KNA, NAK, NKA}
15
A coin and pentagonal spinner with sectors 1 through 5 are tossed and sun respectively. Draw the sample space, using any representation.
(Shown)
15
A coin and pentagonal spinner with sectors 1 through 5 are tossed and sun respectively. Determine the chance of getting a tail and a 4.
1/10
15
A coin and pentagonal spinner with sectors 1 through 5 are tossed and sun respectively. Determine the chance of getting a head and a prime number.
3/10
15
A coin and pentagonal spinner with sectors 1 through 5 are tossed and sun respectively. Determine the chance of getting an odd number.
2/5
15
Display the possible results when two dice are rolled and the scores are added together.
(shown)
10
Display the possible results when two dice are rolled and the scores are added together. What is the probability that the sum of the dice is 10.
3/36 = 1/12
25
Find the probability that a student chosen at random is male.
= 91/150 (0.607, 60.6%, 60.7%)
10
Find the probability that a student chosen at random is either male or studies Chemistry.
= 111/150 ( 37/50, 0.74, 74%)
20
Find the probability that a student chosen at random studies Physics, given that the student is male.
16/91 (0.176, 17.6%)
20
A group of 30 students were asked about their favourite topping for toast. 18 liked peanut butter (A) 10 liked jam (B) 6 liked neither. Show this information on the Venn diagram.
A= 18, B= 10, intersection of AB= 4, Complement of union of AB=6
20
A group of 30 students were asked about their favourite topping for toast. 18 liked peanut butter (A) 10 liked jam (B) 6 liked neither. Find the number of students who like both peanut butter and jam.