5 coins are dropped on the floor. find the probability that they will all land heads up. please help me solve!
(1/2)^5 = (1/2)*(1/2)*(1/2)*(1/2)*1/2) = ?
To find the probability that all 5 coins will land heads up, we need to first determine the total possible outcomes and the favorable outcomes.
Total Possible Outcomes:
Each coin can either land heads up (H) or tails up (T). Since there are 2 possibilities for each coin, and we have 5 coins in total, the total possible outcomes would be 2^5 = 32.
Favorable Outcomes:
In this case, we want all 5 coins to land heads up (H). Since each coin can only have 2 outcomes (H or T), there is only one favorable outcome where all the coins land heads up.
Probability Calculation:
To find the probability, we can use the formula:
Probability = (Number of Favorable Outcomes) / (Total Possible Outcomes)
In this case, the number of favorable outcomes is 1, and the total possible outcomes are 32. Plugging these values into the formula, we have:
Probability = 1 / 32
Therefore, the probability that all 5 coins will land heads up is 1/32 or 0.03125 (approximately).