1.4 level 2 skill checks: probabilitythe table below shows which sports events have sold out and which have not.  event1event2event3event4event5rugby 7ssold outnot sold outnot sold outsold outsold outjuniorathleticssold outsold outnot sold outnot sold outsold outvolley  ballsold outnot sold outnot sold outnot sold outsold outwhich sport has a 0.4 chance of being sold out?   what is the probability of both rugby 7s and junior athletics being sold out?   give your answer as a fraction.© bksb 2018

The table with details of the ticket status for the various events is attached as an image

Part A

We have to determine for which sport probability of being sold out is 0.4

Probability =

Let's determine the probability of being sold out for each of the sports

Probability (Rugby Sevens being sold out) =

⇒ Probability (Rugby Sevens being sold out) =

⇒ Probability (Rugby Sevens being sold out) = 0.6

Probability (Junior Athletics being sold out) =

⇒ Probability (Junior Athletics being sold out) =

⇒ Probability (Junior Athletics being sold out) = 0.6

Probability (Volleyball being sold out) =

⇒ Probability (Volleyball being sold out) =

⇒ Probability (Volleyball being sold out) = 0.4

Hence, for Volleyball the probability of being sold out is 0.4

Part B

Probability of both Rugby 7s and Junior Athletics being sold out = Probability of Rugby 7s being sold out × Probability of Junior Athletics being sold out

Substituting the individual probabilities from Part A in above equation

⇒ Probability of both Rugby 7s and Junior Athletics being sold out = ×

⇒ Probability of both Rugby 7s and Junior Athletics being sold out =

Hence, the probability of both Rugby 7s and Junior Athletics being sold out is

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32