Probability Tes...

$$90\%$$ of the mangoes in a bag are good. If a mango is chosen randomly from the box, find the probability of getting a bad mango.

Two dice are thrown. What is the probability that the sum of the two dice is greater than $$3$$?

If A & B are two given events, then $$P(A \cap B)$$ is

If a leap year is selected at random what is the probability that it will contain $$53$$ Tuesdays?

In a group of $$10$$ people, $$70$$% take vitamins. If you randomly choose $$2$$ of them, what is the probability that neither person selected takes vitamins?

A game has 2 spinners. Spinner #1 has a probability of landing red of $$2/3$$. And, spinner#2 has a probability of landing red of $$1/5$$.
What is the probability spinner#1 lands red AND spinner#2 does NOT land red?

If $$P(A)= \dfrac{1}{3} , P (B) = \dfrac{1}{2}$$ and A, B are mutually exclusive, find $$P(A' \cap B')$$.

If $$P(A)=\frac{1}{8}$$ and $$P(B)=\frac{5}{8}$$. Which of the following statements is correct?

Let A and B be two events such that $$P(A\cup B) = P(A\cap B)$$. Then,
Statement 1: $$P(A\cap \overline{B})=P(\overline{A}\cap B)=0$$
Statement 2: If $$P(A)+P(B)=1$$.

If A and B are two events. The probability that at most one of A, B occurs is