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Grade:
8
, Subject:
Math
, Topic:
Probability and Statistics Independent and Dependent events
Question 1:
Select the correct definition of independent events in probability.
Two events, A and B, are independent events if occur at different time.
Two events, A and B, are independent events if occur at same time.
Two events, A and B, are independent events if the fact that probability A occurring does not affect the probability of B occurring.
Two events, A and B, are independent events if the fact that probability A occurring does affect the probability of B occurring.
Question 2:
Select the correct definition of dependent events in probability.
Two events, A and B, are independent events if occur at different time.
Two events, A and B, are independent events if occur at same time.
Two events, A and B, are independent events if the fact that probability A occurring does not affect the probability of B occurring.
Two events, A and B, are independent events if the fact that probability A occurring does affect the probability of B occurring.
Question 3:
What kind of events are the rolling of two dice?
Independent
Dependent
Both
None
Question 4:
A bag contains four red marbles and three blue marbles. You pull two marbles one after other and calculate the probability that both are red. What kind of events are these?
Independent
Dependent
Both
None
Question 5:
There are 50 boys and 50 girls in a Grade 7. One student is selected for class president in Grade 7. There are 30 boys and 35 girls in Grade 8. One student is selected for class president in Grade 8. What kind of event are these in the calculation of probability?
Independent
Dependent
Both
None
Question 6:
There are 50 boys and 50 girls in a class. One student is selected for class president and other student is selected for class vice-president. What kind of event are these in the calculation of probability?
Independent
Dependent
Both
None
Question 7:
If the probability of the occurrence of an event is P
_{1}
and the probability of the occurrence of another event is P
_{2}
, what is the probability that both events will occur?
P
_{1}
+ P
_{2}
P
_{1}
− P
_{2}
P
_{1}
× P
_{2}
P
_{1}
÷ P
_{2}
Question 8:
If the probability that John will be alive in 40 years is 0.8 and the probability that Mike will be alive in 40 years is 0.7, what is the probability that they will both be alive in 40 years?
1.5
0.1
0.56
0.87
Question 9:
Steve draws a card from a pack of cards and throws a dice. What is the probability that he will get a King on the card and a number less than 4 on dice?
(hint: there are total 52 cards in a pack and four King cards in a pack)
Question 10:
A coin is tossed on the board shown in the figure. What is the probability that it will be a tail and it will fall on the red side?
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