Question

a box contains 30 numbered card from 1 to 30 three cards are drawn at random then find the probability that their median is 10​

Answer 1

Answer:

hey watch the above pic for ur answer .

Answer 2

Answer:

9/203

Step-by-step explanation:

probability = $\frac{Number of Favourable Outcomes}{Number of Total Outcomes}$

Number of Favourable Outcomes: we want median to be 10, and we have numbers from 1 to 30. So we must have 10 in all combinations of 3 numbers. For the rest of 2 numbers we will take combinations from 9 numbers before 10 and 20 numbers after 10. so the number of favourable outcomes would be 9×20.

Number Of Total Outcomes =  $_{30}c_{3}$

so the probability would be = $\frac{9 * 20}{30C3}$ = $\frac{9}{203}$