Cards, each marked with one of the numbers 6, 7, 8,..., 15, are placed in a box and mixed thoroughly.

Question:

Cards, each marked with one of the numbers 6, 7, 8,..., 15, are placed in a box and mixed thoroughly. One card is drawn at random from the box. What is the probability of getting a card with a number less than 10?

(a) $\frac{3}{5}$

(b) $\frac{1}{3}$

(c) $\frac{1}{2}$

 

(d) $\frac{2}{5}$

 

Solution:

(d) $\frac{2}{5}$

Explanation:
All possible outcomes are 6, 7, 8................15.
Number of all possible outcomes = 10

Out of these, the numbers that are less than 10 are 6, 7, 8 and 9.  
Number of favourable outcomes = 4
 
$\therefore P($ getting a number that is less than 10$)=\frac{4}{10}=\frac{2}{5}$
 

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