What is the probability of getting a number of less than 3 on 6 out of 10 tosses of a fair die?

Question

dtan5457 · Answer

How would I set this up using binomial probability?

dtan5457 · Answer

@butterflydreamer

butterflydreamer · Answer

i'm sorry but i can't help you :(
 I haven't studied binomial probability yet ....GOOD LUCK on this question though :))!

dtan5457 · Answer

np thank you :)

rational · Answer

A die has numbers : $\{1, 2, 3, 4, 5, 6\}$ We call it a success if we get less than 3 : $\{1, 2\}$ So probability of success, $p = 2/6 = 1/3$ Since we're rolling it 10 times, $n=10$ $$P(X=6)~~ =~~ \binom{10}{6}(1/3)^6 (1-1/3)^{10-6}$$ http://www.wolframalpha.com/input/?i=%5Cbinom%7B10%7D%7B6%7D%281%2F3%29%5E6+%281-1%2F3%29%5E%7B10-6%7D&dataset=

kropot72 · Answer

$$\large 10C6 \times \frac{1}{3}^{6}\times\frac{2}{3}^{4}$$

dtan5457 · Answer

Got it, thanks