COMPLETE QUESTION:
Juanita and Nina are bowling together. The probability of Juanita getting a strike next game is 24%. The probability of Nina getting a strike next game is 0.17.
Which of these events is more likely? (Choice A) A Juanita gets a strike next game.
(Choice B) B Nina gets a strike next game.
(Choice C) C Neither. Both events are equally likely.
Answer:
(Choice A) A Juanita gets a strike next game.
step-by-step explanation:
The statement explains the chance that each of Juanita and Nina have to take the next strike while bowling together.
The probability of Juanita getting a strike next is 24%.
This means that Juanita has a 24/100 = 0.24 probability of getting a strike next.
The probability of Nina getting a strike next is 0.17.
This translates to 0.17 × 100 = 17% chance of her getting the strike.
Notice that even though, 17% and 24% out of a possible 100% are both small chances, 24% is bigger than 17%, and that makes Juanita have a higher chance than Nina of getting the strike next.
...................................................
It is also possible to find the probability of Juanita not getting the next strike, or Nina not getting the next strike.
The highest obtainable probability of an event to occur is 1. That is, if the probability of an event to occur is 2, then it will SURELY occur.
If p is the probability of success, and q is the probability of failure, then
p + q = 1
Which implies that
p = 1 - q
And
q = 1 - p.
The probability of Nina getting a strike next is 0.17
The probability of Nina NOT getting a strike next is 1 - 0.17 = 0.83
The probability of Juanita getting a strike next is 0.24
The probability of Juanita NOT getting a strike next is 1 - 0.24 = 0.76
![\begin{tabular} {|c|c|c|c|c|c|} Light bulbs&4&8&12&16&20\\[1ex] Packages&1&2&3&4&5 \end{tabular}](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%0A%7B%7Cc%7Cc%7Cc%7Cc%7Cc%7Cc%7C%7D%0ALight%20bulbs%264%268%2612%2616%2620%5C%5C%5B1ex%5D%0APackages%261%262%263%264%265%0A%5Cend%7Btabular%7D)