You must have meant THEORETICAL probability, not EXPERIMENTAL probability.
An EXPERIMENTAL probability is one that you obtain youself by actually drawing
a card 70 times, each time putting it back and shuffling the deck, You keep a
count of how many times you succeeded in drawing a 2, 3, 4, or 5, and then
you divide by 70.
The THEORETICAL probability is calculated this way.
Here are the 52 cards:
A♥ 2♥ 3♥ 4♥ 5♥ 6♥ 7♥ 8♥ 9♥ 10♥ J♥ Q♥ K♥
A♦ 2♦ 3♦ 4♦ 5♦ 6♦ 7♦ 8♦ 9♦ 10♦ J♦ Q♦ K♦
A♠ 2♠ 3♠ 4♠ 5♠ 6♠ 7♠ 8♠ 9♠ 10♠ J♠ Q♠ K♠
A♣ 2♣ 3♣ 4♣ 5♣ 6♣ 7♣ 8♣ 9♣ 10♣ J♣ Q♣ K♣
Here are the only "successful" cards. There are only 16 of them:
2♥ 3♥ 4♥ 5♥
2♦ 3♦ 4♦ 5♦
2♠ 3♠ 4♠ 5♠
2♣ 3♣ 4♣ 5♣
That's a probability of 16 out of 52, which is the fraction
which reduces of , which is approximately 31% of the time.
That's the theoretical, not experimental, probability.
Answer:
If you actually did the experiment and found the experimental probability,
it should be close to 31%.
Edwin