SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

Probability, NAP-K4-CA35 SA

A representative soccer team is chosen from 30 players who play for two clubs, Portland and Lithgow.

10 players from Portland and 20 players from Lithgow are playing in the trials, and 7 players from Portland and 8 from Lithgow are selected in the representative team.
 

 
One player at the trial is randomly selected.

What is the probability that the player is from Lithgow and is selected in the representative team?

Give your answer to two decimal places.
Show Answers Only

`0.27`

Show Worked Solution

`text{Pr(player is from Lithgow and selected)}`

`= text(number of possible players)/text(total players)`

`= 8/30`

`= 0.2666`

`= 0.27`

Probability, NAP-B4-NC28 SA

A coin is tossed 3 times. There are 8 possible outcomes.

What is the probability of getting 2 heads and 1 tail in any order?
Show Answers Only

`3/8`

Show Worked Solution

`text(Strategy 1)`

`text{The table (array) below lists the possible outcomes:}`
 

  1st toss H H H H T T T T
  2nd toss H H T T H H T T
  3rd toss H T H T H T H T
       ✓  ✓    ✓      

`text(From table,)`

`Ptext{(2H, 1T)} = 3/8`
 

`text(Strategy 2)`

`text(This problem can also be efficiently solved using a)`

`text(probability tree.)`