Answer: [tex]\dfrac{1}{8}[/tex]
Step-by-step explanation:
Formula : Probability = [tex]\dfrac{\text{favorable outcomes}}{\text{total outcomes}}[/tex]
Given , Sam has 4 cards numbered 2,3,5, and 7.
His friend has 4 cards numbered 1,2,6 and 7.
If they both draw one card and put that on table , then the possible combinations of cards would be (2,1) , (2,2), .... (7,6), (7,7).
i.e. Number of possible outcomes would be (S) 4 x 4 = 16
Favorable outcomes that they will choose same number (F) = (2,2) , (7,7)
Now , the probability that they will both choose the same number would be :
[tex]\dfrac{F}{S}=\dfrac{2}{16}=\dfrac{1}{8}[/tex]
Hence, the required probability = [tex]\dfrac{1}{8}[/tex]
