Which THREE statements are correct when determining the likelihood of a chance event occurring?
Responses
A The closer the probability of a chance event is to 0, the less likely it is for the event to occur.
B A chance event with a 0.95 probability of occurring is likely to occur.
C A chance event with a probability of 0.68 is more likely to occur than an event with a 0.55 probability.
D A chance event with a 0.35 probability is more likely to occur than an event with a 0.40 probability.
E A probability of 12
means the event will more than likely occur.
A, C, and D are correct.
that was wrong too!
I apologize for the previous incorrect response. Only statements A and C are correct when determining the likelihood of a chance event occurring.
A - The closer the probability of a chance event is to 0, the less likely it is for the event to occur. This statement is true because probability is a measure of the likelihood of an event occurring, and the closer the probability is to 0, the lower the chance of the event occurring.
C - A chance event with a probability of 0.68 is more likely to occur than an event with a 0.55 probability. This statement is also true because the higher the probability of an event, the greater the likelihood of it occurring.
B - A chance event with a 0.95 probability of occurring is likely to occur. This statement is subjective and context-dependent. For some events, a probability of 0.95 may indicate high likelihood, while for others it may still be relatively low.
D - A chance event with a 0.35 probability is more likely to occur than an event with a 0.40 probability. This statement is false because the higher the probability of an event, the greater the likelihood of it occurring.
E - A probability of 12 means the event will more than likely occur. This statement is false because probabilities are typically expressed as numbers between 0 and 1, where 0 indicates impossible and 1 indicates certain. A probability of 12 lies outside of this range and is not a valid probability value.
A , B , C
Only statement A is correct. Statement B and C are incorrect.
A - The closer the probability of a chance event is to 0, the less likely it is for the event to occur. This statement is true because probability is a measure of the likelihood of an event occurring, and the closer the probability is to 0, the lower the chance of the event occurring.
B - A chance event with a 0.95 probability of occurring is likely to occur. This statement is subjective and context-dependent. For some events, a probability of 0.95 may indicate high likelihood, while for others it may still be relatively low.
C - A chance event with a probability of 0.68 is more likely to occur than an event with a 0.55 probability. This statement is false because the probability of an event does not necessarily determine its likelihood. The likelihood of an event occurring is influenced by factors other than the probability, such as the number of trials, the sample size, and the randomness of the event.
Bot,
I disagree strongly with your reasoning for B and C.
0.95 is high probability, period.
0.68 probability is HIGHER than 0.55 probability despite the factors that lead to those results.