I need some help with some math homework(Algebra 2)-Shorty8

I've been working this out for about an hour I still don't get it

Here's the example:

Suppose you take a four-question true-or-false quiz and guess the answers at random. What is the probability that you will get at least three questions correct?

Step 1 1. Define how you will do the simulation. 2. Generate random numbers on a calculator. 3. Since you answer true or false at random, you have a 50% chance of guessing correctly on each question. So let half of the digits represent correct answers. For example, let even digits represent correct answers. 4. Since there are four questions, group the random digits in groups of four. List 50 groups to represent taking the test 50 times. 5. Conduct the simulation. Underline groups with at least three even digits. 6. Interpret the simulation. Since 15 of the 50 groups represent at least three correct answers, P(at least 3 correct) = 15 over 50 = 0.3.

The probability that you will get at least three questions correct is 30%.

There's a group there but it didn't show up.

anyway, I don't get how you know that the random numbers are correct. Such as if I put 1684 as a number I don't get how to make that many groups as it's correct.

such as for 3 out of 4 on a true and false quiz, I could technically put 36 with 3 even numbers without knowing it.

Here's a homework problem: If you guess the answers at random, what is the probability of getting at least 2 out of 5 answers on a true and false quiz?

Any help will be appreciated. Thanks:)

Shorty8

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