Two events A and B: P(A) = 0.3, P(B) = 0.4, P(A and B) = 0.1. Are they independent?
AYes (P(A) × P(B) = P(A∩B))
BNo (0.3 × 0.4 = 0.12 ≠ 0.1, so dependent)
CCannot tell
DAlways independent
Answer & Solution
Correct answer: B. No (0.3 × 0.4 = 0.12 ≠ 0.1, so dependent)
For independence: P(A and B) = P(A) × P(B) = 0.3 × 0.4 = 0.12. Here actual P(A and B) = 0.1, not 0.12. So A and B are NOT independent.
Related questions
Uppercase letters such as A and B are used in probability notation to represent:An experiment is repeated far more often, and the observed proportion moves toward the theDrawing one card from a full deck, the probability it is a spade is 13 out of:Drawing two cards from a 52-card deck without replacement, the denominator for the second If the name is kept out instead, each member of the population can be chosen:A name is drawn from a hat and then put back before the next draw. That sampling is done:A sample space can be shown by listing outcomes, by a Venn diagram or by a:For independent events that conditional term simplifies, so the chance of both is found by