5. Bacamo istovremeno četiri simetrična novčića (za simetričan novčić vjerojatnosti da će pasti pismo ili glava su jednake). Kolika je vjerojatnost da su pri jednom bacanju ta četiri novčića pala dva pisma i dvije glave?

## Zadaci za 10 bodova:

Translates to:

5. We toss four symmetrical coins simultaneously (for a symmetrical coin, the probabilities of landing heads or tails are equal). What is the probability that two heads and two tails will appear when these four coins are tossed once?

## Problems worth 10 points:
First method:

Tossing each of the symmetrical coins has two possible outcomes: "heads" or "tails." The total number of possible outcomes for tossing four symmetrical coins is $2^{4}=16. \quad 2$ POINTS Two heads can fall on two out of the four symmetrical coins in $\frac{4 \cdot 3}{2}=6$ different ways, with the two tails falling on the remaining two coins.

Therefore, the desired probability is $p=\frac{6}{16}=\frac{3}{8}=0.375=37.5\%$.

2 POINTS

TOTAL 6 POINTS

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