3.8k views
0 votes
Ten cards numbered 1 through 10 mixed together and then one card is drawn. If you draw 90 times, how many times would you pick a number less than 5?

User Llogan
by
7.3k points

1 Answer

2 votes

Final answer:

To determine how many times a card with a number less than 5 is likely to be drawn from ten cards after 90 draws, multiply the probability of drawing such a card (0.4) by 90 to get an expected 36 times.

Step-by-step explanation:

The question asks how many times you would pick a number less than 5 if you draw from a set of ten cards numbered 1 through 10 a total of 90 times.

There are four cards with numbers less than 5 (1, 2, 3, and 4). Assuming that the card is replaced and shuffled each time, each draw is an independent event with the probability of drawing a card less than 5 being 4 out of 10, or 0.4.

If you draw 90 times, you would expect to draw a card with a number less than 5 about 0.4 times 90, which is 36 times.

User Albert James Teddy
by
8.1k points