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# Find the probability that the card has a value less than 7 if all the jacks, queens and kings are removed from a deck of 52 playing cards. The remaining cards are well shuffled and then one card is drawn at random. Giving ace a value 1 similar value for other cards

**Solution:**

Given, all the jacks, queens and kings are removed from a deck of 52 playing cards.

The remaining cards are well shuffled and then one card is drawn at random.

Given, ace has a value of 1.

We have to find the probability that the card has a value less than 7.

A deck of 52 playing cards has 13 cards of heart, 13 cards of diamond, 13 cards of spade and 13 cards of club.

Jacks, queens and kings of heart, spade, diamond and club are removed.

Total number of cards removed = 3(4)

= 12

Remaining cards = 52 - 12

= 40

The probability of drawing a card less than 7 is given by

favourable outcomes = 1,2,3,4,5,6 cards of heart, spade, club and diamond.

Number of favourbale outcomes = 6(4)

= 24

Number of possible outcomes = 40

Probability = number of favourable outcomes / number of possible outcomes

Probability = 24/40

= 6/10

= 3/5

Therefore, the probability of drawing a card that has a value less than 7 is 3/5.

**✦ Try This: **All the jacks, queens and kings are removed from a deck of 52 playing cards. The remaining cards are well shuffled and then one card is drawn at random. Giving ace a value 1 similar value for other cards, find the probability that the card has a value less than 6.

**☛ Also Check: **NCERT Solutions for Class 10 Maths Chapter 14

**NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 30(iii)**

## Find the probability that the card has a value less than 7 if all the jacks, queens and kings are removed from a deck of 52 playing cards. The remaining cards are well shuffled and then one card is drawn at random. Giving ace a value 1 similar value for other cards

**Summary:**

All the jacks, queens and kings are removed from a deck of 52 playing cards. The remaining cards are well shuffled and then one card is drawn at random. Giving ace a value 1 similar value for other cards, the probability that the card has a value less than 7 is 3/5

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