Home
Class 12
MATHS
Determine the minimum number of dice whe...

Determine the minimum number of dice when we throw all of them we have at least a 50% chance of getting 6.

Text Solution

Verified by Experts

P(1 time6)+P(2 time 6)...+P(n times 6)`>=1/2`
`1-P(no6)>=1/2`
`1-(1-1/6)^n>=1/2`
`1-1/2>=(5/6)^n`
`1/2>=(5/6)^n`
`1/2=(5/6)^n`
`-log2=n(log5-log6)`
`-3.0=n(log10-log2-log2-log3)`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

In a bombing attack , there is 50% chance that a bomb will hit target . At least two independent hits are required to destroy the target completely. Then the minimum number of bombs, that must be dropped to ensure that there is at least 90% chance of completely destroying the target , is ________

What is the chance of getting 3 when we throw a dice?

A rifleman is firing at a distance target and hence has only 10% chance of hitting it. Find the number of rounds; he must fire in order to have more than 50% chance of hitting it at least once.

A rifleman is firing at a distant target ansd hence, has only 10% chances of hitting it. Find the number of rounds, he must fire in order to have more than 50% chances of hitting it at least once.

A rifleman is firing at a distance target and hence has only 10% chance of hitting it. Find the number of rounds; he must fire in order to have more than 50% chance of hitting it at least once.

A rifleman is firing at a distant target ansd hence, has only 10% chances of hitting it. Find the number of rounds, he must fire in order to have more than 50% chances of hitting it at least once.

A rifleman is firing at a distance target and hence has only 10% chance of hitting it.Find the number of rounds; he must fire in order to have more than 50% chance of hitting it at least once.

A rifleman is firing at a distant target and has only 10 % chance of hitting it. The least uumber of rounds, he must fire in order to have more than 50% chance of hitting it at least once is

What is the event of getting odd numbers when we throw a dice?