# CBSE Class 10-Mathematics: Chapter – 15 Probability Part 20 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 6**:

From a pack of playing cards, jacks, queens, kings and aces of red colour are removed. From the remaining a card is drawn at random. Find the probability that the card drawn is (i) a black queen, (ii) a red card, (iii) a black jack, (iv) a honorable card.

**Answer**:

Total number of outcomes

Cards removed [2 jack, queen, king and aces of red colour]

Remaining number of cards

Total number of outcomes = 44

(i) Favourable outcomes [There are black queen]

Required probability

(ii) Favourable outcomes number of red cards left

Probability for a red card

(iii) Favourable outcomes Number of black jacks

Required probability

(iv) Number of picture cards left [jack, queen, King are picture cards]

Required probability

(v) Honorable cards [ace, jack, queen and king]

No. of honorable cards left

Required probability