Three coins are tossed once. Find the probability of getting (v) no head

A and B are events such that $P(A) = 0.42, P(B) = 0.48$ and $P(A \text{ and } B) = 0.16$. Determine (iii) $P(A \text{ or } B)$

A die is thrown, find the probability of following events: (ii) A number greater than or equal to 3 will appear,

Two dice are thrown. The events A, B and C are as follows:
A: getting an even number on the first die.
B: getting an odd number on the first die.
C: getting the sum of the numbers on the dice $ \le 5$.
Describe the events (iii) A or B

A die is thrown. Describe the following events: (ii) B: a number greater than 7

Three coins are tossed. Describe (ii) Three events which are mutually exclusive and exhaustive.

A and B are events such that $P(A) = 0.42, P(B) = 0.48$ and $P(A \text{ and } B) = 0.16$. Determine (ii) $P(\text{not } B)$ and

Two dice are thrown. The events A, B and C are as follows:
A: getting an even number on the first die.
B: getting an odd number on the first die.
C: getting the sum of the numbers on the dice ≤ 5.

state true or false: (give reason for your answer) (v) $A$ and $B'$ are mutually exclusive.

Two dice are thrown. The events A, B and C are as follows:
A: getting an even number on the first die.
B: getting an odd number on the first die.
C: getting the sum of the numbers on the dice ≤ 5.

state true or false: (give reason for your answer) (iv) A and C are mutually exclusive

In an entrance test that is graded on the basis of two examinations, the probability of a randomly chosen student passing the first examination is 0.8 and the probability of passing the second examination is 0.7. The probability of passing atleast one of them is 0.95. What is the probability of passing both?

Three coins are tossed. Describe (i) Two events which are mutually exclusive.

A and B are events such that $P(A) = 0.42, P(B) = 0.48$ and $P(A \text{ and } B) = 0.16$. Determine (i) $P(\text{not } A)$,

Three coins are tossed once. Find the probability of getting (iii) atleast 2 heads

A coin is tossed twice, what is the probability that atleast one tail occurs?

Fill in the blanks in following table: (i) $P(A) = \frac{1}{3}, P(B) = \frac{1}{5}, P(A \cap B) = \frac{1}{15}, P(A \cup B) = ...$

Three coins are tossed. Describe (v) Three events which are mutually exclusive but not exhaustive.

Events E and F are such that $P(\text{not } E \text{ or not } F) = 0.25$, State whether E and F are mutually exclusive.

Three coins are tossed. Describe (iv) Two events which are mutually exclusive but not exhaustive.

A card is selected from a pack of 52 cards. (a) How many points are there in the sample space?

Check whether the following probabilities $P(A)$ and $P(B)$ are consistently defined (ii) $P(A) = 0.5, P(B) = 0.4, P(A \cup B) = 0.8$