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Katie creates a game in which 3 dimes are flipped at the same time.

5 points are awarded if all 3 dimes land on tails, but no points are awarded for anything else. What is the probability of not getting any points? (Hint: Find the complement).

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Question 1

A surgical technique is performed on 10 patients. You are told there is an 80% chance of success. Find the probability that the surgery is successful for exactly 6 patients.  

0.088

Question 2

Sam creates a game in which the player rolls 4 dice. What is the probability in this game of having at least 2 of the dice land on 5.  

0.13101963141  

Question 3

Katie creates a game in which 3 dimes are flipped at the same time.  

5 points are awarded if all 3 dimes land on tails, but no points are awarded for anything else. What is the probability of not getting any points? (Hint: Find the complement).  

0.875

Answer:

The required probability is 0.875

Step-by-step explanation:

Consider the provided information.

It is given that we have 3 dimes.

If you flipped a dime there is only two possible outcomes either heads or tails.

Now you have 3 dimes, therefore the total number of outcomes are:

All three are Heads: (H,H,H)

One dimes shows Heads and other two shows tails: (H,T,T), (T,H,T), (T,T,H)

One dimes shows tails and other two shows heads: (H,H,T), (H,T,H), (T,H,H), All three are Tails: (T,T,T)

Hence, the total number of outcomes are 8:

(H,H,H), (H,T,T), (T,H,T), (T,T,H), (H,H,T), (H,T,H), (T,H,H), (T,T,T)

Now we need to find the probability of not getting any points.

You will not get any points if all 3 dimes are not heads.

Favorable outcomes = All are Not head = 7

Total number of outcomes are = 8

[tex]Probability = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}[/tex]

[tex]Probability = \frac{7}{8}=0.875[/tex]

Hence, the required probability is 0.875

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