All the jacks, queens and kings are removed from a deck of 52 playing cards. The remaining cards as 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.
(i) 7
(ii) Greater than 7
(iii) less than 7

Explanation

To solve the problem step by step, we will first determine the total number of cards remaining after removing the jacks, queens, and kings from a standard deck of 52 playing cards. Then, we will calculate the probabilities for each of the three scenarios: (i) drawing a card with a value of 7, (ii) drawing a card with a value greater than 7, and (iii) drawing a card with a value less than 7.

### Step 1: Determine the total number of remaining cards
- A standard deck has 52 cards.
- There are 4 jacks, 4 queens, and 4 kings in the deck.
- Total cards removed = 4 (jacks) + 4 (queens) + 4 (kings) = 12 cards.
- Remaining cards = 52 - 12 = 40 cards.

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