Counting technique: There is a group of 6 men and 8 women. a) What is the probability to select a group of 6 with no men? b) What is the probability to select a group of 8 with 5 women?

Q: Four coins are thrown 32 times. Determine the probability that three Tails will be rolled in 9 c

A: Given that, Four coins are thrown 32 times. Determine the probability that three Tails will be…

Q: We have 6 red ball and 4 blue balls. We are taking 3 balls to the park. a) find the probability…

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Q: 20) In one town, 45% of all voters are Democrats. If four voters are randomly selected for a survey,…

A: This is the case of binomial because there are only two possible outcomes, i.e., Democrats or not…

Q: Dave's wardrobe contains 15 T-shirts, of which 12 are gray. Dave selects a T-shirt at random. part…

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Q: In a bag there are 6 white marbles and 16 black marbles. Four marbles are drawn without replacement.…

A: Hi! Thank you for the question! Since the question contains four subparts and we are allowed to…

Q: Consider the probability of selecting 2 matching cards (2 kings, 2 fives, and so on) from a regular…

A: we need to find out the probability of drawing 2 matching cards.

Q: 20 Find the probability of drawing 2 Queens and 3 Kings Hint how many 5-cand hands have 2 Queens and…

A: Obtain the probability of drawing 2 queens and 3 kings.   The probability of drawing 2 queens and…

Q: In Lotto 649, you must select 6 numbers from 1-49. Calculate the following: 1. The probability that…

A: Given In Lotto 649, you must select 6 numbers from 1-49.

Q: A six person committee must be formed from a group of 6 boys and 7 girls. Determine the probability…

A: A six person committee must be formed from a group of 6 boys and 7 girls Total students = 6 + 7 = 13…

Q: 9. A bag contains 2 blue marbles and 5 red marbles. Consider drawing marbles (no replacement). Find…

A: Ans - Given, A bag contains 2 blue and 5 red marbles.          Total = 2 + 5 = 7 marbles

Q: There are 3 students running for class president. The probability that Kyle will win is and the…

A: Step 1: From the provided information,There are 3 students.Probability that Kyle will win is…

Q: Q) A fair die rolled 4 times. what is probability of geeting atleast one 2 on the four rolles.…

A: Given, The dice is rolled 4 times Here, q is the probability of obtaining 2 as the dice is rolled…

Q: A. Suppose that a sports event, called, 'Palarong UPLB', which is played annually by different…

A: Given that p1 = probability that CAS wins = 0.4, p2 = probability that CEAT wins =0.3 p3 =…

Q: You are dealt 5 cards from a deck of 52 cards. a) What is the probability that you are dealt exactly…

A: It was stated that I have dealt 5 cards from a deck of 52 cards. Need to find the following…

Q: Wardrobe In your dresser are five blue shirts, three redshirts, and two black shirts.a) What is the…

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Q: A marble is drawn from a bag containing the given colors.  Find the probability that the marble is…

A: Solution: 6. From the given information, a bag contains 3 purple and 2 green marbles. Total number…

Q: What's the chance all your numbers are selected? b) What's the chance at least one of your numbers…

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Q: A lock consists of 4 dials, where each dial has 6 letters. What is the probability of guessing the…

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Q: 10. Suppose there are 10 women and 8 men who teach at a private school. Please simplify your answers…

A: a) There are two cases for the given situation. Case 1.  2 teachers are women and 1 is man. Case 2.…

Q: A new law is favored by 90% of voters. Suppose 8 voters are randomly selected. a) Find the…

A: It is given that the new law is favoured by 90% of voters i.e. probability that the new law is…

Q: A jar contains 2 red, 4 green, 5 blue, and 5 yellow marbles. If a single marble is chosen at random…

A: Sample space = { 2 red marbles, 4 green marbles, 5 blue marbles, 5 yellow marbles } Number of…

Q: To play California Fantasy 5, a player chooses 5 numbers between 1 and 39. a) In how many ways 5…

A: a. There are 39 unique numbers between 1 and 39. Of these, any 5 unique numbers must be chosen, that…

Q: our coins are thrown 32 times. Determine the probability that three Tails will be rolled in 9 cases.

A: We are given:n=Total number of coins=4p=Probability of heads=Probability of tails=12=0.5

Q: Out 5,000 cards, 136 are blue cards. a) what is the probability that a randomly selected card is…

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Q: A bag of M&M's has 4 red, 6 green, 2 blue, and 3 yellow M&M's. What is the probability of randomly…

A: No. of red M&M's=4No. of green M&M's=6No. of blue M&M's=2No. of yellow M&M's=3Total…

Q: A fair coin is tossed 8 times. i). What is the probability that the eighth toss results in a head…

A: Following are the explanation of the question.

Q: A class consists of 12 boys and 10 girls. a committee of 5 students is to be selected to represent…

A: Given that there are 12 boys and 10 girls. So total (12+10)=22 students.  We can select any 5…

Q: A bag of M&M's has 7 red, 5 green, 8 blue, and 2 yellow M&M's. What is the probability of randomly…

A: It is given that Number of red = 7 Number of green = 5 Number of blue = 8 Number of yellow = 2 Total…

Q: A bag of M&M's has 5 red, 4 green, 7 blue, and 8 yellow M&M's. What is the probability of randomly…

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Q: For the last performance, a theater tickets to children. What is the ratio of childrem tickets sold?

A: Given, for a performance, No. of tickets sold to adults=95 No. of tickets sold to children=45 Total…

Q: A bag contains 9 black, 5 red, 7white and 4 purple balls. What is the probability of choosing: a).…

A: Given,no.of black balls=9no.of red balls=5no.of white balls=7no.of purple balls=4total no.of…

Q: A lotto game is played by choosing 5 winning numbers​ (in any​ order) from​ 1, 2, ...​ , 39 a. In…

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Q: If you toss a coin 8 times, what is the probability that you get: A) more heads than tails? B) at…

A: probability mass function of B.D is = f ( k ) = ( n  k ) p^k * ( 1- p) ^ n-kwhere       k = number…