# CBSE Class 10-Mathematics: Chapter – 15 Probability Part 19 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 4**:

A card is drawn at random from a well shuffled deck of playing cards. Find the probability that the card drawn is

(i) A card of spades of an ace

(ii) A red king

(iii) Neither a king nor a queen

(iv) Either a king or a queen

(v) A face card

(vi) Cards which is neither king nor a red card.

**Answer**:

Total possible outcomes

(i) No. of spades

No. of ace

card is common [ace of spade]

Favourable outcomes

Required probability

(ii) No. of red kings

Favourable outcomes

Required probability

(iii) No. of king and queen

Favourable outcomes

Required probability

(iv) No. of king and queen

Required probability

(v) No. of face cards [Jack, queen and king are face card]

Required probability

(vi) No. of cards which are neither red card nor king

Required probability

**Question 5**:

A die is thrown repeatedly until a six comes up. What is the sample for this experiment? Hint:

**Answer**:

The sample space is

**Question 6**:

Why is tossing a coin considered to be a fair wav of deciding which team should get the ball at the beginning of a foot ball match?

**Answer**:

Equally likely because they are mutually exclusive events.

**Question 5**:

Cards marked with numbers are placed in a box and mixed thoroughly and one card is drawn at random from the box, what is the probability that the number on the card is

(i) Aprime number?

(ii) A multiple of 3 or 5?

(iii) An odd number?

(iv) neither divisible by 5 nor by 10?

(v) perfect square?

(vi) a two-digit number?

**Answer**:

Total no. of possible outcomes

(i) favourable cases are which are in number

Required probability

(ii) Multiple of 3 or 5

Favourable cases are , which are in number

Required probability

(iii) Favourable cases are , which are 13 in number

Required probability

(iv) Favourable cases are , which are in number

Required probability

(v) Perfect square numbers are

Favourable cases are

Required probability

(vi) Two-digit numbers are

Required probability