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4. Earl still hates to wash dishes and take out the trash. He finds his own weighted coin, one that
will randomly land on heads 30% of time. He will flip a coin once for each chore and will
perform the chore if the coin lands on heads.

A.) what is the probability that Earl will get out of the doing both chores?

B.) what is the probability that Earl will have to take out the trash but will not need to wash dishes?

4 Earl still hates to wash dishes and take out the trash He finds his own weighted coin one that will randomly land on heads 30 of time He will flip a coin once class=

Respuesta :

Answer:

49%

21%

Step-by-step explanation:

Hello!

This is a probability question.

There is a 30% chance they need to do the chore and a 70% chance they don't for every coin toss.

Let's put this into fractions. 30% = 3/10. 70% = 7/10.

Now, to calculate a compound probability, we need to multiply the probability of each of the outcomes of the events.

A)

We have two events here. One where he doesn't do the chore and the other where he also doesn't do the chore.

Both events on their own have a 70% chance of happening or 7/10. So we multiply both the numbers together to find the compound probability. 7/10 * 7/10 = 49/100. 49/100 = 49%.

B)

We follow the same guidelines here. The probability of not doing the chore is 70% or 7/10, and the probability of doing the chore is 30%, or 3/10.

Now you need to multiply both probabilities. 7/10 * 3/10 = 21/100. 21/100 = 21%.

Let me know if you have any questions.

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