(binominal experiments and simulations) six coins are tossed. what is the probability that the following occurs? 1. 3 heads and 3 tails

Question

satellite73 · Answer

3 heads and three tails? 
formula would be $$\binom{6}{3}\left(\frac{1}{2}\right)^6$$

satellite73 · Answer

where $$\binom{6}{3}=\frac{6\times 5\times 4}{3\times 2}$$

sphott51 · Answer

Isn't formula P(r) = C(n,r) P^r q^n-r

zarkon · Answer

$$C(n,r)= \binom{n}{r}$$

$$C(n,r)p^rq^{n-r}$$

$$C(6,3)\left(\frac{1}{2}\right)^3\left(\frac{1}{2}\right)^{6-3}$$

$$=C(6,3)\left(\frac{1}{2}\right)^3\left(\frac{1}{2}\right)^{3}$$

$$=C(6,3)\left(\frac{1}{2}\right)^{3+3}=C(6,3)\left(\frac{1}{2}\right)^{6}$$

$$=\binom{6}{3}\left(\frac{1}{2}\right)^{6}$$

which is what satellite73 said

nuke_ur_friend · Answer

@i_am_a_penguin

nuke_ur_friend · Answer

@timeflybyegirl