Question

State whether the following statements are true or false. QUESTION 1 Consider tossing a die and let S denote the set of all possible numerical observations for a single toss of a die. Suppose A = {2, 4}, then the complement event AC (or A') is 2/6. QUESTION 2 Suppose that A and B are two events. The expression that describes both events to occur is "A or B". QUESTION 3 Suppose that you are given an event A with probability of the event denoted by P(A), then P(A) is always greater or equal to 0. QUESTION 4 Consider two events A and B that are independent, then P(A and B) = 0. QUESTION 5 If an event A does not occur, then the complement event AC will not occur. QUESTION 6 If event A and B are independent with P(A) = 0.25 and P(B) = 0.60, then P(A|B) is 0.15. QUESTION 7 Suppose you roll a die with the sample space S = {1, 2, 3, 4, 5, 6} and you define an event A = {1, 2, 3}, event B = {1, 2, 3, 5, 6}, event C = {4, 6} and event D = {4, 5, 6}. The probability denoted by P(B and D) is 0.33. QUESTION 8 Consider three students who wrote the examination for STA1501. The three students are Steve, John and Smith. Suppose that the lecturer has assigned the following probabilities: P(Steve passes) = 0.37, P(John passes) = 0.54 and P(Smith passes) = 0.78. The probability that either Steve or Smith fails is 0.2886. QUESTION 9 Consider an experiment that consists of rolling a six-sided die with the sample space S = {1, 2, 3, 4, 5, 6}. The probability that a tutor rolls an even number is {2, 4, 6}. QUESTION 10 According to the 2019 StatSA Census, 37% of women between ages of 25 and 34 have earned at least a college degree as compared with 30% of men in the same age group. The probability that a randomly selected woman between the ages of 25 and 34 does not have a college degree is 0.63.

          State whether the following statements are true or false.

QUESTION 1
Consider tossing a die and let S denote the set of all possible numerical observations for a single toss of a die. Suppose A = {2, 4}, then the complement event AC (or A') is 2/6.

QUESTION 2
Suppose that A and B are two events. The expression that describes both events to occur is "A or B".

QUESTION 3
Suppose that you are given an event A with probability of the event denoted by P(A), then P(A) is always greater or equal to 0.

QUESTION 4
Consider two events A and B that are independent, then P(A and B) = 0.

QUESTION 5
If an event A does not occur, then the complement event AC will not occur.

QUESTION 6
If event A and B are independent with P(A) = 0.25 and P(B) = 0.60, then P(A|B) is 0.15.

QUESTION 7
Suppose you roll a die with the sample space S = {1, 2, 3, 4, 5, 6} and you define an event A = {1, 2, 3}, event B = {1, 2, 3, 5, 6}, event C = {4, 6} and event D = {4, 5, 6}. The probability denoted by P(B and D) is 0.33.

QUESTION 8
Consider three students who wrote the examination for STA1501. The three students are Steve, John and Smith. Suppose that the lecturer has assigned the following probabilities: P(Steve passes) = 0.37, P(John passes) = 0.54 and P(Smith passes) = 0.78. The probability that either Steve or Smith fails is 0.2886.

QUESTION 9
Consider an experiment that consists of rolling a six-sided die with the sample space S = {1, 2, 3, 4, 5, 6}. The probability that a tutor rolls an even number is {2, 4, 6}.

QUESTION 10
According to the 2019 StatSA Census, 37% of women between ages of 25 and 34 have earned at least a college degree as compared with 30% of men in the same age group. The probability that a randomly selected woman between the ages of 25 and 34 does not have a college degree is 0.63.

State whether the following statements are true or false.

QUESTION 1
Consider tossing a die and let S denote the set of all possible numerical observations for a single toss of a die. Suppose A = 2, 4, then the complement event AC (or A') is 2/6.

QUESTION 2
Suppose that A and B are two events. The expression that describes both events to occur is "A or B".

QUESTION 3
Suppose that you are given an event A with probability of the event denoted by P(A), then P(A) is always greater or equal to 0.

QUESTION 4
Consider two events A and B that are independent, then P(A and B) = 0.

QUESTION 5
If an event A does not occur, then the complement event AC will not occur.

QUESTION 6
If event A and B are independent with P(A) = 0.25 and P(B) = 0.60, then P(A|B) is 0.15.

QUESTION 7
Suppose you roll a die with the sample space S = 1, 2, 3, 4, 5, 6 and you define an event A = 1, 2, 3, event B = 1, 2, 3, 5, 6, event C = 4, 6 and event D = 4, 5, 6. The probability denoted by P(B and D) is 0.33.

QUESTION 8
Consider three students who wrote the examination for STA1501. The three students are Steve, John and Smith. Suppose that the lecturer has assigned the following probabilities: P(Steve passes) = 0.37, P(John passes) = 0.54 and P(Smith passes) = 0.78. The probability that either Steve or Smith fails is 0.2886.

QUESTION 9
Consider an experiment that consists of rolling a six-sided die with the sample space S = 1, 2, 3, 4, 5, 6. The probability that a tutor rolls an even number is 2, 4, 6.

QUESTION 10
According to the 2019 StatSA Census, 37% of women between ages of 25 and 34 have earned at least a college degree as compared with 30% of men in the same age group. The probability that a randomly selected woman between the ages of 25 and 34 does not have a college degree is 0.63.

Added by Jessica P.

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