Conditional probabilities

What is the probability of randomly selecting a student who received a sweater as a gift?

• $P\left(Sweater\right)=\frac{23}{76}$

• $P\left(Sweater\right)=\frac{46}{76}$

• $P\left(Sweater\right)=\frac{5}{23}$

• $P\left(Sweater\right)=\frac{5}{46}$

What is the probability of randomly selecting a student who received a socks as a gift and was surprised?

• $P\left(Socks\ \cup Surprised\right)=\frac{56}{76}$

• $P\left(Socks\ \cap Surprised\right)=\frac{42}{76}$

• $P\left(Socks\ \cap Surprised\right)=\frac{32}{76}$

• $P\left(Socks\ \cup Surprised\right)=\frac{88}{76}$

What is the probability that a randomly selected student received underwear as a gift or was not surprised?

• $P\left(Underwear\cap Surprised^C\right)=\frac{2}{76}$

• $P\left(Underwear\cup Surprised^C\right)=\frac{2}{11}$

• $P\left(Underwear\cup Surprised^C\right)=\frac{39}{76}$

• $P\left(Underwear\cup Surprised^C\right)=\frac{9}{46}$

Given a student was surprised with the gift, what is the probability that he or she got socks?

• $P\left(Surprised\left|Socks\right|\right)=\frac{32}{42}$

• $P\left(Socks\left|Surprised\right|\right)=\frac{32}{46}$

• $P\left(Surprised\left|Socks\right|\right)=\frac{32}{76}$

• $P\left(Surprised\left|Socks\right|\right)=\frac{8}{19}$

What is the probability of randomly selecting a student who saw Star Wars and an Evening Show?

• $P\left(Star\ Wars\cap Evening\ Show\right)=\frac{85}{238}$

• $P\left(Star\ Wars\cap Evening\ Show\right)=\frac{122}{238}$

• $P\left(Star\ Wars\cup Evening\ Show\right)=\frac{211}{238}$

• $P\left(Star\ Wars\cup Evening\ Show\right)=\frac{85}{145}$

What is the probability of randomly selecting a student who went Ice Skating?

• $P\left(Ice\ Skating\right)=\frac{42}{96}$

• $P\left(Ice\ Skating\right)=\frac{42}{55}$

• $P\left(Ice\ Skating\right)=\frac{42}{137}$

• $P\left(Ice\ Skating\right)=\frac{55}{137}$

What is the probability of randomly selecting a student who went sledding and spent time with friends?

• $P\left(Sledding\cap Friends\right)=\frac{116}{137}$

• $P\left(Sledding\cap Friends\right)=\frac{24}{137}$

• $P\left(Sledding\cup Friends\right)=\frac{20}{137}$

• $P\left(Sledding\cap Friends\right)=\frac{24}{44}$

What is the probability that a student does play a sport given they do not play an instrument? 

• .2
• .2222
• .10
• .5

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.6

CCSS.HSS.ID.B.5

What is the probability that the person picked will be a boy given they speak german? 

• .7273
• .4
• .16
• .22

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.6

CCSS.HSS.ID.B.5

What is the probability that a student plays an instrument 

• .55
• .5
• .45
• .4

Tags

CCSS.HSS.CP.A.4

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

CCSS.HSS.ID.B.5