Quantitative Reasoning Module 9, Section 11.4 Homework
An 8-sided die is rolled. Find the probability of rolling an even number. The set of equally likely outcomes is shown below. {1,2,3,4,5,6,7,8}
The probability of rolling an even number on an 8-sided die is 0.5.
If the spinner is spun once, find the probability that the the pointer lands in a region that is blue or brown.
The probability that that pointer lands in a region that is brown or blue is 1/2.
If the spinner is spun once, find the probability that the pointer lands in a blue region.
The probability that the pointer lands in a blue region is 1/4.
You select a family with 3 children. If M represents a male child and F a female child, the set of equally likely outcomes for the children's genders is shown below. Find the probability of selecting a family with four male children. {MMM, MMF, MFM, MFF, FMM, FMF, FFM, FFF}
P(4 male children)=0
Find the probability that these parents give birth to a child who has sickle cell trait.
P(child has sickle cell trait)=1/2
You select a family with 3 children. If M represents a male child and F a female child, the set of equally likely outcomes for the children's genders is shown below. Find the probability of selecting a family with fewer than 6 female children. {MMM, MMF, MFM, MFF, FMM, FMF, FFM, FFF}
P(fewer than 6 children)=1
A 4-sided die is rolled. The set of equally likely outcomes is {1,2,3,4}. Find the probability of rolling a number less than 11.
The probability of rolling a number less than 11 is 1.
You are dealt one card from a standard 52-card deck. Find the probability of being dealt a card greater than 2 and less than 10.
The probability of being dealt a card greater than 2 and less than 10 is 7/13.
You are dealt one card from a standard 52-card deck. Find the probability of being dealt a heart.
The probability of being dealt a heart is 1/4.
You are dealt one card from a standard 52-card deck. Find the probability of being dealt a king.
The probability of being dealt a king is 1/13.
You are dealt one card from a standard 52-card deck. Find the probability of being dealt a space and a heart
The probability of being dealt a queen and a seven is 0.
You are dealt one card from a standard 52-card deck. Find the probability of being dealt a red card.
The probability of being dealt a red card is 1/2.
You are dealt one card from a standard 52-card deck. Find the probability of being dealt the Jack of clubs.
The probability of being dealt the Jack of clubs is 1/52.
A single die is rolled twice. The 36 equally-likely outcomes are shown to the right. Find the probability of getting a first number that is less than the second number.
The probability of getting a first number that is bigger than the second number is 5/12.
A fair coin is tossed 3 times in succession. The set of likely outcomes is {HHH, HTH, THH, HTT, THT, TTH, TTT}. Find the probability of getting a tail on the first toss.
The probability of getting a tail on the first toss is 1/2.
A fair coin is tossed 2 times in succession. The set of equally likely outcomes is {HH, HT, TH, TT}. Find the probability of getting at least one head.
The probability of getting at least one head is 3/4.
A fair coin is tossed two times in succession. The set of likely outcomes is {HH, HT, TH, TT}. Find the probability of getting exactly one head.
The probability of getting one head is 1/2.
A fair coin is tossed three times in succession. The set of likely outcomes is {HHH, HTH, THH, HTT, THT, TTH, TTT}. Find the probability of getting exactly two heads.
The probability of getting two heads is 3/8.
A single die is rolled twice. The 36 equally-likely outcomes are shown to the right. Find the probability of getting two numbers whose sum exceeds 15.
The probability of getting two numbers whose sum exceeds 15 is 0.
A single die is rolled twice. The 36 equally-likely outcomes are shown to the right. Find the probability of getting two numbers whose sum is less than 20.
The probability of getting two numbers whose sum is less than 20 is 1.
You select a family with 3 children. If M represents a male child and F a female child, the set of equally likely outcomes for the children's genders is shown below. Find the probability of selecting a family with at least three male children. {MMM, MMF, MFM, MFF, FMM, FMF, FFM, FFF}
The probability of having at least three male children is 1/8.
You select a family with 4 children. If M represents a male child and F a female child, the set of equally likely outcomes for the children's genders is {FFFF, FFFM, FFMF, FMFF, MFFF, MFFM, MFMF, MMFF, FFMM, FMFM, FMMF, MFMM, MMFM, MMMF, MMMM}. Find the probability of selecting a family with exactly four female children.
The probability of having exactly four female children is 1/16.
You select a family with 4 children. If M represents a male child and F a female child, the set of equally likely outcomes for the children's genders is {FFFF, FFFM, FFMF, FMFF, MFFF, MFFM, MFMF, MMFF, FFMM, FMFM, FMMF, MFMM, MMFM, MMMF, MMMM}. Find the probability of selecting a family with exactly three female children.
The probability of having exactly three female children is 1/4.
A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a 9.
The probability of rolling a 9 is 1/12.
A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a number greater than 18.
The probability of rolling a number greater than 18 is 0.
A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a number greater than 6.
The probability of rolling a number greater than 6 is 0.5.
A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a number less than 10.
The probability of rolling a number less than 10 is 0.75.
If the spinner is spun once, find the probability that the pointer lands in a region that is blue and red.
The probability that the pointer lands in a region that is blue and red is 0.