unbiased coin is tossed a fixed number of times. If the robability of getting 4 heads equals the probability of etting 7 heads, then the probability of getting 2 heads is

Q: Joe rolls a 6-die and Magdalena rolls an 8-die. What is the probability that Joe rolls a larger…

A: Given information: Joe rolls a 6-faced die. The possible numbers that are rolled by Joe are 1, 2, 3,…

Q: Suppose that you flip four coins. What is the probability that when four coins are flipped, we get…

A: 1) Consider the experiment of flipping of 4 coins. Each coin flip has 2 possible outcomes, so the…

Q: A fair die is rolled four times. A 2 is considered​ "success," while all other outcomes are​…

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Q: If you roll two six-faced dice together, you will get 36 possible outcomes. What is the probability…

A: The 36 possible outcomes are S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3) (2,4) (2,5)…

Q: Find the probability of 62 or more participants believing life on other planets is plausible

A: From the original problem, It is given that the number of observations are independent with…

Q: John rolled a pair of dice. What is the probability that they would sum to 6?

A: In general, there are 36 possible outcomes when rolled a pair of balanced dice.

Q: A fair coin is tossed 5 times. Compute the probability of tossing 5 heads in a row.

A: Probability is the chance of occurrence of an event. A fair coin is tossed 5 times. For each toss,…

Q: An urn contains Red and Blue balls. 6 balls are red (R) and 13 balls are blue (B). Draw two balls,…

A: Given An urn contains No. of Red balls=6 No. of Blue balls=13 Total no. of balls=6 red balls +13…

Q: flip a fair coin three times. What is the probability of getting one head and two tails, in any orde

A: Given that  A fair coin is flipped 3 times . Total possible events = 23 = 8 ways The ways are as…

Q: In terms of probability, what does it mean to say that two events are independent?

A: Two events are independent , if we know that occurrence of one event does not affect the probability…

Q: Suppose we flip a fair coin 20 times getting 6 tails and 14 heads. Find the probability of having no…

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Q: Two six sided dice are rolled at once. What is the probability of rolling a sum of 9

A: Note that the favorable cases to get a sum of 9 are 3,6,6,3,4,5,5,4. Consider the following events,…

Q: You flip a fair coin 10 times. What is the probability that it lands on heads exactly 3 times? The…

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Q: Two coin are tossed. What is the probability of tossing “two heads or two tails”?

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Q: You are to draw two cards without replacing the first one. What is the probability of having a king…

A: Multiplication Rule for two Independent events:If the events A and B are said to be independent…

Q: Suppose you flip a fair coin twice. What is the probability that the outcome is the same both times?…

A: When we flip a coin toss twice then total number of possible outcomes are S = {HH, HT, TH, TT }

Q: If you roll a fair die and then flip a fair coin, what is the probability that you roll greater than…

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Q: Suppose that you flip a coin 11 times. What is the probability that you achieve at least 4 tails?

A: