The probability of an impossible event P, is

The probability of an impossible event P is always 0

If three coins are tossed simultaneously, the number of possible outcomes are

The possible outcomes can be written as H H H H H T H T H H T T T H H T H T T T H T T T Thus there are a total of 8 possible outcomes.

In the given spinner all sectors are equal. What is the probability of spinner landing on C?

There are five equal sectors and C is one of them. Hence the probability of spinner landing on C is one out of five i.e. 1/5

What is the probability of choosing a vowel from all the alphabets?

Probability of an event = Number of favourable outcomes of an event / total number of outcomes of the experiment Here, since the number of total vowels are 5 hence, the number of favourable outcomes of selecting a vowel from alphabets is 5. Total number of alphabets are 26 hence total number of outcomes of an experiment is 26 Thus, the probability of getting a vowel from set of alphabets = 5/26

Dinesh has some bags containing black, red and blue beads as shown in the figure. He is going to take a bead from each bag without looking. It is impossible that Dinesh will take a red bead from bag ___

In bag A and bag D, there are no red beads hence it is impossible to obtain a red bead from these bags.

Dinesh has some bags containing black, red and blue beads as shown in the figure. He is going to take a bead from each bag without looking. It is certain that Dinesh will take a black bead from the bag ___

There are all black beads in bag A so it is certain that the bead that Dinesh will take will be a black bead.

A card is taken at random from a well shuffled pack of 52 cards. What is the probability that the card is a red king?

Total number of cards= The total number of outcomes of the experiment = 52 Out of which the king of Hearts and the king of Diamonds are cards with a red king. i.e. The number of cards having a red king on it = 2 So, probability of getting a red king = 2/52 = 1/26