When a certain type of thumbtack is tossed, the probability that it lands tip up

Question

When a certain type of thumbtack is tossed, the probability that it lands tip up is 80%, and the probability that it lands tip down is 20%. All possible outcomes when two thumbtacks are tossed are listed. U means the tip is up and D means the tip is down. Complete parts (a) through (d) below. UD DU a. What is the probability of getting exactly one Down? P(exactly one Down)- 0.32 Round to two decimal places as needed.) b. What is the probability of getting two Downs? P(two Downs) (Round to two decimal places as needed.)

Explanation / Answer

P(UU)=0.8*0,8=0.64

P(UD)=0.8*0.2=0.16

P(DU)=0.2*0.8=0.16

P(DD)=0.2*0.2=0.04

thus

a) P(DU)+P(UD)= 0.16+0.16=0.32

b) P(DD)=0.04

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