Question

two dice are thrown at the sametwo dice are thrown at the same time and the product of numbers appearing on them is noted find the probability that the product is less than 9 ​

Answer 1

Given

• Two dice are thrown at Same time

To find

• Probability of getting product of both face <9

Solution

Total outcome of two dice when it thrown is 36

• (1,2)(2,1).....(6,6)

Total No of event less than 9

• (1,1)(1,2)(1,3)(1,4)(1,5)(1,6)
• (2,1)(2,2)(2,3)(2,4)
• (3,1)(3,2)
• (4,1)(4,2)
• (5,1)
• (6,1)

_________

• 16 events

Now

$\rightarrow\sf\:probability=\frac{toatl\:event\:occur}{Total\:outcome}$

$\rightarrow\sf\: probability=\frac{16}{36}$

$\rightarrow\sf\: probability=\frac{4}{9}$

Hence, probability of getting less than 9 is $\bullet\sf\frac{4}{9}$