Three coins are tossed, and A) exactly two heads come up B) at least one tail...

Three coins are tossed, and

A) exactly two heads come up

B) at least one tail comes up

Find Probability of A or B

Expert Solution

A) P(exactly two heads) = 3/8 = 0.375

B) P(at least one tail comes up) = 7/8 = 0.875

P(A or B) = 3/8 = 0.375

milcah answered 2 years ago

Three fair coins are tossed simultaneously. We define the events A: get at least two heads...

Three fair coins are tossed simultaneously. We define the events A: get at least two heads B: get two tails C: get at most two heads i) Write down the sample space S. ii) Calculate P(A), P(B), P(C). iii) Calculate P(A ∩ B), P(A ∩ C), P(B ∩ C). iv) Calculate P(A Ս B), P(A Ս C), P(B Ս C). v) Which of the following pairs of events are independent and why? A and B A and C vi) Which of the following pairs of events...

For the following exercises, four coins are tossed. Find the probability of tossing either two heads or three heads.

For the following exercises, four coins are tossed.Find the probability of tossing either two heads or three heads.

Three fair coins are tossed simultaneously 10 times. Find the probability that "2 heads and one...

Three fair coins are tossed simultaneously 10 times. Find the probability that "2 heads and one tail" will show up (a) at least once and (b) at most once.

In tossing three fair coins, what is the probability of getting at least two heads?

Two coins are tossed at the same time. Let random variable be the number of heads...

Two coins are tossed at the same time. Let random variable be the number of heads showing. a) Construct a probability distribution for b) Find the expected value of the number of heads.

Two coins are tossed. A die is thrown for each coin that falls heads. What is...

Two coins are tossed. A die is thrown for each coin that falls heads. What is the expected number of spots shown on the dice?

4 fair coins are tossed. Let X be the number of heads and Y be the...

4 fair coins are tossed. Let X be the number of heads and Y be the number of tails. Find Var(X-Y) Solution: 3.5 Why?

1. Four coins are tossed 11 times. The number of heads is counted and the following...

1. Four coins are tossed 11 times. The number of heads is counted and the following data is reported: 4, 3, 2, 0, 3, 3, 1, 2, 3, 2, 1. Calculate the following sample statistics. Be sure to provide a formula for your answer. a. Sample mean? b. Sample median? c. Sample mode? d. Sample range? e. Sample variance?

Five coins were simultaneously tossed 1000 times and at each toss, the number of heads was...

Five coins were simultaneously tossed 1000 times and at each toss, the number of heads was observed. The number of tosses during which 0, 1, 2, 4, and 5 heads were obtained are shown in the table below. Convert the given frequency distribution to probability distribution find the expected value. Number of heads per toss: 0 1 2 3 4 5 Number of tosses : 38 144 342 287 164 25

A coin is tossed 50 times. Find the probability that the tail appears. A) Exactly 30 times...

A coin is tossed 50 times. Find the probability that the tail appears. A) Exactly 30 times B at least 35 times. Using normal distribution

Question