Question

There is a stack of 8 cards each given a different number from 1 to 8. Suppose we select a card randomly from the stack, replace it, and then randomly select another card. What is the probabuthat the first card is an odd number and the second card is less than 4?

Answer 1

Answer:

3/16.

Step-by-step explanation:

Prob(First number is odd) = 1/2 . (because there are 4 odd and 4 even in 8 cards.

Prob( Second card < 4) = 3/8.  (because < 4 means card numbered 1,2 or 3).

Required probability = 1/3 * 3/8

= 3/16.

Answer 2

Answer:

Step-by-step explanation:

odd numbers are 1,3,5,7

number of odd cards=4

Total number of cards=8

Number of cards less than 4=3  {1,2,3}

$Required~probability=\frac{4}{8} *\frac{3}{8} =\frac{3}{16}$