Question

Three coins are tossed simultaneously with the frequencies of different outcomes



6. Total sample space of the data.


7. Find the probability that three heads have to come up?

8. Find probability that two heads have to come up?


9. Find probability that one head have to come up?


10. Find probability that no head have to come up?​

Answer 1

Answer:

6.) 150

7.) 23/150 or 0.1533 or 15.33%

8.) 12/25 or 0.48 or 48%

9.) 9/50 or 0.18 or 18%

10.) 14/75 or 0.1867 or 18.67%

Step-by-step explanation:

6.) The total sample space is the quantity of different outcomes. In this problem, we can add up all the possible results to find the amount of times a coin was flipped/the quantity of different outcomes.

Chance of 3 heads + Chance of 2 heads + Chance of 1 heads + Chance of 0 heads = Total sample space

23 + 72 + 27 + 28 = Total sample space

150 = Total sample space

7.) To find the probability that 3 heads are flipped, we want to take the number of times 3 heads were flipped and divide that by the number of times a coin was flipped.

Chance of 3 heads / Times the coin was flipped = Probability that 3 heads will be flipped

23 / 150 = P

0.1533 = P

15.33% chance 3 heads are flipped.

8.) To find the probability that 2 heads are flipped, we want to take the number of times 2 heads were flipped and divide that by the number of times a coin was flipped.

Chance of 2 heads / Times the coin was flipped = Probability that 2 heads will be flipped

72 / 150 = P

12 / 25 = P

0.48 = P

48% chance 2 heads are flipped.

9.) To find the probability that 1 head is flipped, we want to take the number of times 1 head were flipped and divide that by the number of times a coin was flipped.

Chance of 1 head / Times the coin was flipped = Probability that 1 head will be flipped

27 / 150 = P

9 / 50 = P

0.18 = P

18% chance 1 head is flipped.

10.) To find the probability that no heads were flipped, we want to take the number of times no heads were flipped and divide that by the number of times a coin was flipped.

Chance of no heads / Times the coin was flipped = Probability that no heads will be flipped

28 / 150 = P

14 / 75 = P

0.1867 = P

18.67% chance no heads are flipped.

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