Suppose A is subset of B. Let X belongs to A then by hypothesis, X will belong to B. Hence X belong to A and X belong to B implies that X belongs to A intersection B. Accordingly A is subset of A intersection B. But we know that A intersection B is always subset of A. Hence A intersection B is equal to A. On the other hand, suppose A intersection B is equal to A. Then in particular, A is ...
Suppose $A$ and $B$ are sets. Prove that $A\subseteq B$ if and only if ...
Suppose p has the property that for any a, b ∈ Z, if p divides ab, then p divides a or p divides b. Is p prime? (p is integer and bigger than 1) [duplicate] Ask Question Asked 2 years, 6 months ago Modified 2 years, 6 months ago
elementary number theory - Suppose p has the property that for any a, b ...
3 Suppose a fair die is rolled seven times independently. What is the probability that at least one of the six sides of the die never shows up in these seven rolls? Here is my approach: So at first my aim is to calculate the probability of all faces appearing at least once.
probability - Suppose a fair die is rolled 7 times independently ...
Suppose you draw two cards from a deck of 52 cards without replacement. 1) What is the probability that both cards are hearts? 2) What is the probability that exactly one of the cards is hearts...
probability - Suppose you draw two cards from a deck of 52 cards ...