Answer: [tex]\dfrac{7}{10}[/tex]
Step-by-step explanation:
Given : Total sports cards = 50
Number of football cards = 20
Number of basketball card = 15
Probability of getting a foot ball card =[tex]\dfrac{\text{No. of football card}}{\text{Total carrds}}[/tex]
[tex]=\dfrac{20}{50}[/tex]
Probability of getting a basketball card =[tex]\dfrac{\text{No. of basketball card}}{\text{Total carrds}}[/tex]
[tex]=\dfrac{15}{50}[/tex]
Since each card is different from another , so the events of drawing any card are independent.
In this case P(foot ball card or basket ball card)= P(foot ball card ) +P(basketball card)
[tex]=\dfrac{20}{50}+\dfrac{15}{50}=\dfrac{35}{50}=\dfrac{7}{10}[/tex]
Thus , the probability that the card is a football card or basketball card is [tex]\dfrac{7}{10}[/tex] .
