# CBSE Class 10-Mathematics: Chapter – 15 SProbability Part 13 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 27**:

One card is drawn from a well shuffled deck of cards. Find the probability of getting a jack of hearts.

**Answer**:

Total number of outcomes

Favorable cases [There is only one jack of hearts]

Required probability

**Question 28**:

If two dice are thrown once, find the probability of getting 9.

**Answer**:

Total number of possible outcomes of throwing two dice

Number of outcomes of getting 9 i.e.. ,

Required probability

**Question 29**:

A card is drawn from a well shuffled deck of playing cards. Find the probability of getting a face card.

**Answer**:

Total number of possible outcomes

Favourable outcomes

Required probability

**Question 30**:

What is the probability of having Mondays in a leap year?

**Answer**:

Total number of days in a leap year = 366

This contains 52 weeks and 2 days

The remaining two days may beMT, TW, WTh, ThF, FS, SS, SM

Favourable cases are MT, SM i.e.. , 2 out of 7 cases

Required probability

**Question 31**:

Cards bearing numbers to are placed in a bag and mixed thoroughly. A card is taken out from the bag at random, what is the probability that the number on the card taken out is an even number?

**Answer**:

Total number of outcomes

Cards in the box having even numbers are which are in number

favourable outcomes

P (an even number)

## 3 Mark Questions

**Question 1**:

A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers (see figure) and these are equally likely outcomes. What is the probability that it will point at:

(i) ?

(ii) An odd number?

(iii) A number greater than ?

(iv) A number less than ?

**Answer**:

Out of 8 numbers, an arrow can point any of the numbers in 8 ways.

Total number of favourable outcomes

(i) Favourable number of outcomes

Hence, P (arrow points at 8)

(ii) Favourable number of outcomes

Hence, P (arrow points at an odd number)

(iii) Favourable number of outcomes

Hence,

(iv) Favourable number of outcomes

Hence, P (arrow points at a number