Question

there are 50 cards in a bag numbering 1,2,3,...,50.one card is drawn . find the probability that the number on this card is
$prime$
$multiple \: of \: 6$
$less \: than \: 5$
$square \:$
$divisible \: by \: 2 \: or3$
$divisible \: by \: 2 \: and \: 3 \:$
​

Answer 1

Answer:

Step-by-step explanation:

n(S)=

1. Prime : 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47.

n(Prime)= 15

P(prime) = $\frac{15}{50} = \frac{3}{10}$

2. Multiple of 6: 6,12,18,24,30,36,42,48

n(multiple of 6)=8

P= $\frac{8}{50} = \frac{4}{25}$

3. Less than 5: 1,2,3,4

n(<5)=4

P=$\frac{4}{50} = \frac{2}{25}$

4. Square: 1,4,9,16,25,36,49

n(square) = 7

P =$\frac{7}{50}$

5. divisible by 2 or 3: 2,3, 4, 6, 8, 9, 10, 12, 14,15,16,18,20,21,22,24,26,27,28,30,32,33,34,34,36,38,39,40,42,44,45,46,48,50.

n(divisible by 2 or 3)= 33

P =$\frac{33}{50}$

6. divisible by 2 and 3: 6,12,18,24,30,36,42,48

n(divisible by 2 and 3) = 8

P =$\frac{8}{50} = \frac{4}{25}$