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: A fair coin is flipped 6 times. Find the probability that heads was flipped exactly 4 times

A: The probability of the heads is calculated by the binomial distribution probability mass function.…

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: A coin is tossed 3 times. What is t

A: From the given information, A coin is tossed 3 times. Total outcomes is 2^3=8 (HHH, TTT, THH, HTH,…

Q: A fair coin is tossed 5 times. What is the probability of getting exactly 3 heads?

A:

Q: if two dice are cast, what is the probability that the sum will be less than 5?

A: Two dice are thrown together. Nedd to find the probability that numbers on the two faces sum/add is…

Q: What is the probability of flipping a fair coin and getting heads twice in a row?

A: Flip a fair coinP(Heads twice in a row) = ? for fair coin P(Head)=P(Tail)) = 0.5

Q: When 2 dice are rolled, find the probability of getting a greater number on the first die than the…

A: When 2 dice are rolled. then sample space(S) is;…

Q: Two fair dice are rolled. What is the probability that the sum or product of the two numbers rolled…

A: Given: Two fair dices are rolled. Probability that the sum or product of the two number rolled is…

Q: A game is played with 3 fair coins. If 2 or 3 heads are obtained, the player wins. What is the…

A: toss 3 coin win if 2 or 3 heads rolled P(win) = ?

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: If three coins are tossed simultaneously, the probability of getting at least one head is

A: Given that three coins are tossed simultaneously. we have to find PROBABILITY of getting at least…

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

A:

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: what is the probability to get 3 tails and 1 head.

A:

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 coin is tossed 3 times. The probability of getting exactly two heads is

A: Here given that A coin is  tossed 3-times

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: Two pair of dice are rolled. What is the probability that the sum of their faces will be equal to…

A: Given: Two pair of dice are rolled. To find : The probability that the sum of their faces will be…

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…

A:

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: Two dice are thrown simultaneously.Find the probability that the number of spots upper host is 9 or…

A: When two dice are thrown, there are 6*6 = 36 outcomes.

Q: If two coins are tossed, what is the probability of getting both heads

A:

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

A:

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

A:

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: a random card is drawn from a standard deck of playing cards (52 cards), what is the probability of…

A:

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

A:

Q: A 6 sided and a 10 sided die are rolled simultaneously. What is the probability both dice will show…

A: Given that A 6 sided and a 10 sided die are rolled simultaneously.the probability that both a…

Q: A pair of dice is rolled eight times. What is the probability of rolling 2's exactly 3 times?

A: Givena pair of dice  rolled 8 timesn=8p=136=0.028x~Binomial(n=8,p=0.028)

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

A: