Question

Eight fair coins were flipped 21. How many possible outcomes there will be, if the order of coins are considered? 22. How many possible outcomes with exactly 3 heads? 23. What is the probability of getting a result with exactly 3 heads? (Round to 4 decimal places, if needed.) What is the probability of getting a result with less than 2 head? (Round to 4 decimal places, if needed.) 24. 25. P(A)-0.35, P(B)-0.58, and P(A and B)-0.26, What is P(A or B)? (Round to 2 decimal places, if needed 26. PA)-0.75, P(B)-0.36, and P(A and B)-0.25, What is P(A or B)? (Round to 2 decimal places, if needed.)

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Answer #1

21:

When we tossed a fair coin, two possible outcomes are head (H) and tail (T). So possible number of outcomes when eight fair coins are tossed is

2.2. .2-28-256 22 2506 8 times

Answer: 256

22:

Number of ways of selecting 3 coins for heads out of 8 is

8 56 C(8,3) 3-3

The number of ways of getting 3 heads out of 8 is 56.

23:

The required probability is

p=rac{56}{256}=0.21875

24:

Number of ways of getting less than 2 heads, that is 0 or 1 head, is

8! 8!

The required probability is

p =-= 0.03515625 256

25:

P(A or B) P(A) + P(B) _ P(An B) 0.35 0.58-0.26 = 0.67

26:

P(A or B) P(A) + P(B) _ P(An B) 0.75+ 0.36-0.25 0.86

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