Eenie
What is the probability of picking a red card out of a deck of cards?
1/2
Drinks are purchased from a vending machine. Are the outcomes of each purchase independent or dependent?
Dependent
Evaluate 5!
120
A person runs a marathon, and then falls ill from exhaustion. Are the events independent or dependent?
Dependent
In a game of monopoly, two dice are rolled.
a Is the outcome of the second die dependent on the outcome of the first?
b If a ‘5’ is rolled on one of the dice, what is the probability of rolling a ‘5’ on the second die?
a No
b 1/6
Evaluate 4!6!
17,280
What is the probability of drawing a green counter from a bag of 5 green counters and 6 black counters, replacing it and drawing another green counter?
25/121
Use the formula P(A∪B)=P(A)+P(B)−P(A∩B) to solve the following question.
If P(A)=1/5, P(B)=1/6 and P(A∩B)=1/30, find P(A∪B).
1/3
A restaurant offers seven different spaghetti sauces. Tricia chooses two sauces for her spaghetti. How many different possible choices could she make?
21
There are 4 green counters and 8 purple counters in a bag. What is the probability of choosing a green counter, not replacing it, then choosing a purple counter?
8/33
Evaluate 7C2.
21
Find the value of 11P1.
11
A bank requires its customers to create a 4-digit pin for their bank card. They can use the digits 0 to 9, with repetitions allowed. How many different bank cards can the bank issue if each card must have a different pin?
5,040
Simplify 19!/(15!4!) by identifying common factors of the numerator and denominator.
3,876
A boss wants to select one group of 4 people from his 28 staff.
How many different groups are possible?
21, 475
Find the value of 6P3.
120
A random card is picked from a standard deck. Find the probability that the card is:
a red or a diamond
b an ace or a diamond.
c an ace of spades or an ace of clubs
d a black or a face card
a. 1/2
b. 4/13
c. 1/26
d. 8/13
Members of a gym were asked what kind of training they do. Each responder only did one kind of training. The table shows the results.
Cardio Weight
Male 12 26
Female 44 18
a How many gym members were asked altogether?
b How many members do weight training?
c What percentage of the gym members do weight training?
a 100
b 44
c 44%
A fair six-sided die is rolled. Find the probability of rolling:
a a 4.
b an odd number.
c a 4 or an odd number.
a 1/6
b 1/2
c 2/3
A standard deck of cards is used and 3 cards are drawn out.
a What is the probability that all 3 cards are diamonds if the cards are drawn with replacement?
b What is the probability that all 3 cards are diamonds if the cards are drawn without replacement?
a 1/64
b 11/850