grimdreaming
Answered

Few Questions! NEED HELP PLEASE , CONFUSED!!

1. Cards numbered 1 through 30 are shuffled in a bin. One card is randomly selected.
What is the probability of selecting a number that is a multiple of 11?

2. There are 3 red and 8 green balls in a bag. If you randomly choose balls one at a time, with replacement, what is the probability of choosing 2 red balls and then 1 green ball?

3. When randomly choosing two cards from a standard deck of cards without replacement, what is the probability of choosing a queen and then a king?



Answer :

iGreen
Multiples of 11 between 1 and 30:

11, 22

So there are 2 numbers that are multiples of 11 in the bin. There are a total of 30 cards, so the probability is written as 2/30. Or we can simplify it to 1/15.

For the next question:

There are a total of 3 + 8 = 11 balls in the bag.

The probability of choosing a red ball is 3/11.

The probability of choosing a green ball is 8/11.

Multiply the three fractions:

3/11 * 3/11 * 8/11 = 72/1331

So the probability is 72/1331.

For the last question:

A standard deck of cards has 52 cards.

There are 4 queens and 4 kings in the deck.

Probability of choosing a queen is 4/52, and the probability of choosing a king AFTER you already chose a queen is 4/51.

Multiply the two fractions:

4/52 * 4/51 = 16/2652

So the probability is 16/2652 or 4/663

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