Question

jay beats terry at table tennis 3 out of 5 games. what is the experimental probability that terry will win their next game

Answer 1

The experimental probability that terry will win their next game is
`(2)/(5)`

Explanation:

While theoretical probability is the ratio of the number of favourable outcomes to the total number of outcomes, the experimental probability is the ratio of number of times the event is occurring to the total number of trials of the experiment.

Out of 5 games jay wins 3

Now the experimental probability that terry will win their next game

= 1 - Probability of Jay winning the game----------------------(1)

Probability of Jay winning the game =
`\frac{\text{number of occurrences of the event}}{\text{total number of trials made}}`

=>
`(3)/(5)`----------------------------------------------------(2)

Substituting (2) in (1)

=> 1 -
`(3)/(5)`

=>
`(5-3)/(5)`

=>
`(2)/(5)`