Answer: 20
Step-by-step explanation:
Given, Sonya wrote each letter of LEDBETTER on a separate index card and put the cards in a box.
Total letters = 9
Number of times T appeared = 2
Thus, if we pick one card , the probability of getting card with T would be :-
[tex]\dfrac{\text{Number of times T appeared}}{\text{Total letters}}\\\\=\dfrac{2}{9}[/tex]
If she performed this experiment 90 times, then the best prediction for the number of times that Sonya would pick a T would be :
90 x ( probability of getting card with T)
[tex]=90\times\dfrac{2}{9}=10\times2=20[/tex]
Hence, the the best prediction for the number of times that Sonya would pick a T = 20.