Thanksgiving always falls on the fourth Thursday in November. Find the Probabili

Question

Thanksgiving always falls on the fourth Thursday in November. Find the Probability that Thanksgiving will be on the following dates. Assume that November 1 has an equally likely probability of falling on any of the seven days of the week. Show or explain clearly how you determined the probabilities. a) November 21 b) November 22 c) between Nov, 25 and Nov. 28 d) November How many five-digit numbers can be formed with the first three digits odd and the last two digits even a) if repetition is allowed? b) if repetition is not allowed? 4. The Chess Club has six members. In how many ways a) can all six members line up for a picture? b) can the club choose a president and a secretary? c) can the club choose three members to attend the regional tournament? The Debate Team has six girls and five boys. In how many ways can a four-person team be selected if a) there are to be two boys and two girls on the team? b) there are to be at least two boys on the team? In problem (2) above, what is the probability that a) there are two boys and two girls on the team? b) there are at least two boys on the team? b) there are three girls and a boy given that Martha should be on the team?

Explanation / Answer

Question 2:

Therefore, let X be the date on which thanksgiving falls. Then we get:

P(X = i ) = 1/7 , i = 22,23,24,25,26,27,28

a) P(X = 21) = 0 because as we seen in the above table, thanksgiving cannot fall on the 21st of nov

b) P(X = 22) = 1 / 7 as we computed above

c) P(25 < X< 28 ) = P(X = 26 )+ P(X=27 ) = 2 / 7 as we saw above

d) P(X = 29) = 0 because as we seen in the above table, thanksgiving cannot fall on the 29th of nov

Day on 1st nov. Date of 4th thursday Monday 4 + 7 + 7 + 7 = 25 Tuesday 3 + 7 + 7 + 7 = 24 Wednesday 2 + 7 + 7 + 7 = 23 Thursday 1 + 7 + 7 + 7 = 22 Friday 7 + 7 + 7 + 7 = 28 Saturday 6 + 7 + 7 + 7 = 27 Sunday 5 + 7 + 7 + 7 = 26

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.