[tex]\frac{5}{11}[/tex] is the probability that Jonas will get an orange and [tex]\frac{2}{5}[/tex] is the probability that Beth will get an apple.
What is Probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
According to question, a basket contains [tex]11[/tex] pieces of fruit: [tex]4[/tex] apples, [tex]5[/tex]oranges, and [tex]2[/tex] bananas. Jonas takes a piece of fruit at random from the basket, and then Beth takes a piece at random.
We have to find the probability that Jonas will get an orange and Beth will get an apple.
Now, Total outcomes [tex]= 11[/tex]
Favorable outcomes that Jonas will get an orange [tex]=5[/tex]
The probability that Jonas will get an orange [tex]=\frac{5}{11}[/tex]
Now,[tex]1[/tex] fruit is already taken by Jonas
So, Total outcomes[tex]=10[/tex]
Favorable outcomes that Beth will get an apple[tex]=4[/tex]
The probability that Beth will get an apple[tex]=\frac{4}{10} =\frac{2}{5}[/tex]
Hence, we can conclude that [tex]\frac{5}{11}[/tex] is the probability that Jonas will get an orange and [tex]\frac{2}{5}[/tex] is the probability that Beth will get an apple.
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