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Probability Practice 1: Experiments, Events and Basic Probability

Vocabulary

Question 1mcq
A coin is tossed once. In probability language, what is the experiment?
A.A sure event
B.Tossing the coin once
C.Getting heads only
D.The number 11
Question 2mcq
In rolling a die, which option is an event?
A.Getting an even number
B.The die itself
C.The act of rolling only
D.The sample space size
Question 3mcq
For equally likely outcomes, probability of an event is:
A.total outcomesfavourable outcomes\frac{\text{total outcomes}}{\text{favourable outcomes}}
B.Favourable outcomes plus total outcomes
C.Always 11
D.favourable outcomestotal outcomes\frac{\text{favourable outcomes}}{\text{total outcomes}}
Question 4mcq
A bag has 33 red and 55 blue balls. One ball is drawn at random. What is P(red)P(\text{red})?
A.35\frac{3}{5}
B.83\frac{8}{3}
C.38\frac{3}{8}
D.58\frac{5}{8}
Question 5mcq
What is the sample space when one coin is tossed?
A.{H}\{H\}
B.{H,T}\{H,T\}
C.{HH,HT,TH,TT}\{HH,HT,TH,TT\}
D.{1,2,3,4,5,6}\{1,2,3,4,5,6\}
Question 6mcq
Which sample space matches rolling one standard die?
A.{1,2,3,4,5,6}\{1,2,3,4,5,6\}
B.{H,T}\{H,T\}
C.{0,1}\{0,1\}
D.{2,4,6}\{2,4,6\}

Simple Probability

Question 7mcq
A die is rolled once. What is the probability of getting a prime number?
A.13\frac{1}{3}
B.23\frac{2}{3}
C.56\frac{5}{6}
D.12\frac{1}{2}
Question 8mcq
A card is chosen from cards numbered 11 to 1010. What is the probability of choosing a multiple of 33?
A.710\frac{7}{10}
B.110\frac{1}{10}
C.310\frac{3}{10}
D.13\frac{1}{3}
Question 9mcq
Which of these can be a probability?
A.53\frac{5}{3}
B.0.750.75
C.0.2-0.2
D.1.41.4
Question 10mcq
A student says P(getting 7 on a die)=16P(\text{getting }7\text{ on a die})=\frac{1}{6}. What is wrong?
A.77 is not an outcome on a standard die.
B.The denominator should be 77.
C.Every event has probability 1/61/6.
D.The die has no sample space.